Jordan Theory Preprint Archives
Welcome to the preprint archives for papers in Jordan Theory and
related areas. We accept submissions of preprints in electronic form
for storage until publication.
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Ottmar Loos
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Events
The Preprints
 [368]
Finitary Jordan algebras, by
A. Fernández López
(25 Oct 2016)
 [367]
Universal enveloping TROs and structure of W*TROs, by
Bernard Russo
(9 Aug 2016)
 [366]
Algebras whose right nucleus is a central simple algebra, by
S. Pumpluen
(27 Jun 2016)
 [365]
Nonassociative differential extensions of characteristic p, by
S. Pumpluen
(20 Jun 2016)
 [364]
Corrigendum to: ``Factoring skew polynomials over Hamilton's quaternion
algebra and the complex numbers'' [J. Algebra 427 (2015), 2029], by
S. Pumpluen
(15 Dec 2015)
 [363]
Boundedness of completely additive measures with application to
2local triple derivations, by
J. Hamhalter, K. Kudaybergenov, A.M. Peralta and B. Russo
(10 Dec 2015)
 [362]
2Local triple derivations on von Neumann algebras, by
K. Kudaybergenov, T. Oikhberg, A.M. Peralta and B. Russo
(10 Dec 2015)
 [361]
Cohomology of Jordan triples via Lie algebras, by
ChoHo Chu and Bernard Russo
(10 Dec 2015)
 [360]
A Jordan approach to finitary Lie algebras, by
Antonio Fernández López
(22 Oct 2015)
 [359]
Strongly Prime Algebraic Lie PIalgebras, by
A. Fernández López
(1 Oct 2015)
 [358]
Outer automorphisms of algebraic groups and a SkolemNoether
theorem for Albert algebras, by
Skip Garibaldi and Holger P. Petersson
(29 Jun 2015)
 [357]
Addendum to: ``Factoring skew polynomials over Hamilton's quaternion
algebra and the complex numbers'' [J. Algebra 427 (2015), 2029], by
S. Pumpluen
(24 Apr 2015)
 [356]
Local Nilpotency of the McCrimmon Radical of a Jordan System, by
J. A. Anquela, T. Cortés and E. Zelmanov
(6 Mar 2015)
 [355]
The Kurosh Problem for Jordan Nil Systems over Arbitrary Rings
of Scalars, by
J. A. Anquela, T. Cortés and E. Zelmanov
(6 Mar 2015)
 [354]
Irreductible Representations of the Simple Jordan Superalgebra of Grassmann Poisson bracket, by
O. Folleco Solarte and I. Shestakov
(27 Feb 2015)
 [353]
On commuting Uoperators in Jordan algebras, by
I. Shestakov
(27 Feb 2015)
 [352]
Imbedding Jordan Systems in Primitive Systems, by
J. A. Anquela, T. Cortés and K. McCrimmon
(5 Feb 2015)
 [351]
Clifford elements in Lie algebras, by
J. Brox, A. Fernández López and M. Gómez Lozano
(3 Nov 2014)
 [350]
On the identities defining quadratic Jordan division algebras, by
M. Grüninger
(9 Oct 2014 and 26 Jan 2015)
 [349]
Triality and Algebraic Groups of Type ^{3}D_{4}, by
M.A. Knus and J.P. Tignol
(5 Sep 2014)
 [348]
A note on linear codes and nonassociative algebras obtained from skew
polynomial rings, by
S. Pumpluen
(22 Jul 2014)
 [347]
Tensor products of nonassociative cyclic algebras, by
S. Pumpluen
(7 Jul 2014 and 20 Jan 2015)
 [346]
Factoring skew polynomials over Hamilton's quaternion algebra and the
complex numbers, by
S. Pumpluen
(7 Jul 2014)
 [345]
Jordan quadruple systems, by
Murray Bremner and Sara Madariaga
(20 Feb 2014)
 [344]
Nonassociative algebras used to build fastdecodable spacetime block
codes, by
S. Pumpluen and A. Steele
(4 Feb 2014 and 7 July 2014)
 [343]
Fastdecodable rate2 MIDO codes from nonassociative algebras, by
S. Pumpluen and A. Steele
(14 Jan 2014 and 10 Jul 2014 and 14 Oct 2014)
 [342]
Irreducible bimodules over alternative algebras and superalgebras, by
Ivan Shestakov and Maria Trushina
(13 Jan 2014)
 [341]
Shimura varieties mod p with many compact factors, by
Oliver Bültel
(2 Dec 2013)
 [340]
Prime (1,1) and Jordan monsters and superalgebras of vector type, by
S. V. Pchelintsev and I.P. Shestakov
(21 Nov 2013)
 [339]
The Freiheitssatz for generic Poisson algebras, by
Pavel Kolesnikov, Leonid MakarLimanov and Ivan Shestakov
(21 Nov 2013)
 [338]
Hopf algebras in nonassociative Lie theory, by
J. Mostovoy, J.M. PerezIzquierdo and I.P. Shestakov
(21 Nov 2013)
 [337]
An embedding theorem for reduced Albert algebras over arbitrary
fields, by
Holger P. Petersson
(30 Sep 2013)
 [336]
On normal ternary weak amenability of factors, by
Robert Pluta and Bernard Russo
(12 Sep 2013)
 [335]
Jordan Geometries by Inversions, by
Wolfgang Bertram
(28 Aug 2013 and 18 Feb 2014)
 [334]
Prime Quotients of Jordan Systems and Lie Algebras, by
J. A. Anquela, T. Cortés, E. García and M. GómezLozano
(26 Jul 2013)
 [333]
How to obtain division algebras used for fast decodable spacetime
block codes, by
S. Pumpluen
(5 Jul 2013 and 26 Jul 2013)
 [332]
Tensor products of central simple algebras and fastdecodable spacetime
block codes, by
S. Pumpluen
(20 Jun 2013 and 01 Jul 2013)
 [331]
Automorphism Groups of some Finite Semifields, by
A. Steele
(22 May 2013)
 [330]
Algebras carrying maps of degree n, by
S. Pumpluen and A. Steele
(15 May 2013)
 [329]
Forms of E_{8}, by
J. R. Faulkner
(2 May 2013)
 [328]
Rank one groups and division pairs, by
O. Loos
(23 Feb 2013 and 20 Jan 2014)
 [327]
A Jordan algebra approach to the eiconal equation, by
V. G. Tkachev
(30 Nov 2012)
 [326]
A note on some algebra constructions over rational function fields, by
S. Pumpluen
(11 Oct 2012)
 [325]
Maximal subalgebras of octonions, by
Holger P. Petersson
(9 Oct 2012)
 [324]
Division pairs: a new approach to Moufang sets, by
O. Loos
(8 Oct 2012 and 8 Nov 2012)
 [323]
Commuting Uoperators in Jordan algebras, by
José A. Anquela, Teresa Cortés and Holger P. Petersson
(26 Aug 2012)
 [322]
Locally loop algebras and locally affine Lie algebras, by
J. Morita and Y. Yoshii
(3 Aug 2012)
 [321]
Automatic continuity of derivations on
C^{*}algebras and JB^{*}triples, by
Antonio M. Peralta and Bernard Russo
(1 Aug 2012)
 [320]
A holomorphic characterization of operator algebras, by
Matthew Neal and Bernard Russo
(1 Aug 2012)
 [319]
Inner ideals of the Lie algebra of the skew elements of centrally
closed prime algebras with a ring involution, by
Jose Brox and Antonio Fernández López
(9 Jul 2012)
 [318]
MIDO SpaceTime Codes from Associative and Nonassociative Cyclic
Algebras, by
A Steele, S. Pumpluen and F. Oggier
(4 Jul 2012)
 [317]
Albert algebras, by
Holger P. Petersson
(16 Jun 2012)
 [316]
Torsors and ternary Moufang loops arising in projective geometry, by
Wolfgang Bertram and Michael Kinyon
(12 Jun 2012)
 [315]
Derivations and Projections on Jordan Triples. An introduction to
nonassociative algebra, continuous cohomology, and quantum functional
analysis, by
Bernard Russo
(4 Jun 2012)
 [314]
Ternary weakly amenable C^{*}algebras and JB^{*}triples, by
Tony Ho, Antonio M. Peralta and Bernard Russo
(4 Jun 2012)
 [313]
Nonassociative Cyclic Algebras, by
A. Steele
(7 Feb 2012 and 13 Sep 2012)
 [312]
How to obtain nonflexible quadratic algebras as mutation algebras of
Hurwitz algebras, by
S. Pumpluen
(31 Jan 2012 and 23 Apr 2013)
 [311]
The projective geometry of a group, by
Wolfgang Bertram
(30 Jan 2012)
 [310]
Lie inner ideals are nearly Jordan inner ideals, by
A. Fernández López
(10 Oct 2011)
 [309]
Jordan structures in geometry and analysis, by
ChoHo Chu
(17 Aug 2011)
 [308]
Categories of Jordan Structures and Graded Lie Algebras, by
Deanna M. Caveny and Oleg N. Smirnov
(14 Jun 2011)
 [307]
Jordan triple disystems, by
M. R. Bremner, R. Felipe and J. SánchezOrtega
(27 May 2011)
 [306]
A brief note on localglobal principles for composition algebras, by
S. Pumpluen
(23 May 2011 and 27 Mar 2012)
 [305]
Generalized Kepler Problems I: Without Magnetic Charges, by
G. Meng
(18 Apr 2011)
 [304]
Lie algebras with an algebraic adjoint representation revisited, by
A. Fernández López and Artem Yu. Golubkov
(12 Apr 2011)
 [303]
Imbedding Lie Algebras in Strongly Prime Algebras, by
J. A. Anquela and T. Cortés
(28 Feb 2011)
 [302]
Values for the levels and sublevels of algebras obtained by the
CayleyDickson process, by
Cristina Flaut
(10 Feb 2011)
 [301]
Real nonunital division algebras with su(3) as derivation algebra, by
S. Pumpluen
(19 Jan 2011)
 [300]
A note on Moufang loops arising from octonion algebras over rings, by
S. Pumpluen
(13 Jan 2011 and 2 May 2013)
 [299]
Structurable algebras of skewrank 1 over the affine plane, by
S. Pumpluen
(15 Dec 2010)
 [298]
Growing Hearts in Associative Systems, by
J. A. Anquela and T. Cortés
(29 Nov 2010)
 [297]
Homotopes of Symmetric Spaces
II. Structure Variety and Classification, by
Wolfgang Bertram and Pierre Bieliavsky
(13 Nov 2010 and 5 Mar 2012)
 [296]
Homotopes of Symmetric Spaces
I. Construction by Algebras with Two Involutions, by
Wolfgang Bertram and Pierre Bieliavsky
(13 Nov 2010 and 5 Mar 2012)
 [295]
Lie PIalgebras with an algebraic adjoint representation revisited, by
A. Fernández López
(13 Oct 2010)
 [294]
How to obtain division algebras from twisted CayleyDickson
doublings, by
S. Pumpluen
(19 Jul 2010)
 [293]
Steinberg groups for Jordan pairs, by
O. Loos and E. Neher
(19 Jul 2010)
 [292]
New Examples of Simple Jordan Superalgebras over an Arbitrary Field
of Characteristic Zero, by
V.N. Zhelyabin
(18 Jul 2010)
 [291]
(Withdrawn)
 [290]
Levels and sublevels of algebras obtained by the CayleyDickson
process, by
Cristina Flaut
(6 Jul 2010)
 [289]
A construction method for some real division algebras with
su(3) as derivation algebra, by
S. Pumpluen
(25 May 2010, 1 Jun 2010 and 19 Jul 2010)
 [288]
Algebras with scalar involution revisited, by
O. Loos
(5 May 2010 and 30 May 2010)
 [287]
A characterization of the Kostrikin radical of a Lie algebra, by
E. García and M. Gómez Lozano
(13 Apr 2010)
 [286]
Jordan pairs and bounded symmetric domains, by
O. Loos
(24 Feb 2010)
 [285]
Wild Pfister forms over Henselian fields, Ktheory, and conic
division algebras, by
Skip Garibaldi and Holger P. Petersson
(24 Feb 2010)
 [284]
Continuity of deriations of BanachLie algebras, by
A. Fernández López
(23 Feb 2010)
 [283]
The Lie algebra of skewsymmetric elements and its application in
the theory of Jordan algebras, by
S. R. Sverchkov
(19 Feb 2010)
 [282]
A noncomputational approach to the gradings on f4, by
C. Draper
(19 Feb 2010)
 [281]
The composition structure of alternative and Malcev algebras, by
S. R. Sverchkov
(15 Dec 2009)
 [280]
Trivial Minimal Ideals of Jordan Systems, by
J. A. Anquela, T. Cortes and K. McCrimmon
(02 Dec 2009)
 [279]
On a class of finitary Lie algebras characterized through derivations, by
M. Bresar and A. Fernández López
(28 Oct 2009)
 [278]
Algebraic theory of DNA recombination, by
S. R. Sverchkov
(14 Oct 2009)
 [277]
BanachLie algebras spanned by extremal elements, by
A. Fernández López
(25 Sep 2009)
 [276]
Associative Geometries. II: Involutions, the classical grouds, and their
homotopes, by
W. Bertram and M. Kinyon
(25 Sep 2009)
 [275]
Gradings on the real forms of the Albert algebra, of g_{2} and of
f_{4}, by
A. Calderón, C. Draper and C. Martín
(22 Sep 2009)
 [274]
Lie tori of type B_{2} and gradedsimple Jordan structures
covered by a triangle, by
Erhard Neher and Maribel Tocón
(23 Aug 2009)
 [273]
Special identities for quasiJordan algebras, by
Murray R. Bremner and Luiz A. Peresi
(5 Jun 2009)
 [272]
The diastatic exponential of a symmetric space, by
A. Loi and R. Mossa
(8 Apr 2009)
 [271]
Associative Geometries. I: Grouds, linear relations and Grassmannians, by
W. Bertram and M. Kinyon
(01 Apr 2009)
 [270]
Locally extended affine root systems, by
Y. Yoshii
(27 Mar 2009)
 [269]
BanachLie algebras with extremal elements, by
A. Fernández López
(24 Mar 2009)
 [268]
Train algebras of rank 3 with finiteness conditions, by
Fouad Zitan
(10 Mar 2009)
 [267]
Deltaderivations of simple finitedimensional Jordan superalgebras, by
I. B. Kaygorodov
(17 Feb 2009)
 [266]
Powerassociative algebras that are train algebras, by
J. Bayara, A. Conseibo, M. Ouattara and F. Zitan
(12 Feb 2009)
 [265]
H. Bohr's theorem for bounded symmetric domains, by
Guy Roos
(28 Dec 2008 and 9 Apr 2009)
 [264]
The inner ideals of the classical Lie algebras, related
gradings and Jordan pairs, by
C. Draper, A. Fernández López, E. García and M. Gómez Lozano
(17 Nov 2008)
 [263]
Structurable algebras of skewrank one, by
S. Pumpluen
(14 Oct 2008)
 [262]
Albert algebras over locally ringed spaces, by
G. Achhammer
(06 Oct 2008)
 [261]
Jordan triples and Riemannian symmetric spaces, by
ChoHo Chu
(28 Sep 2008)
 [260]
Picomplemented algebras, by
J. C. Cabello and M. Cabrera
(12 Sep 2008)
 [259]
The Lie inner ideal structure of associative rings revisited, by
Georgia Benkart and Antonio Fernández López
(3 Jul 2008 and 30 Sep 2008)
 [258]
A construction method for Albert algebras over algebraic
varieties, by
S. Pumpluen
(30 Jun 2008)
 [257]
Symmetric composition algebras over algebraic varieties, by
S. Pumpluen
(30 Jun 2008)
 [256]
The behaviour of Albert division algebras under field extensions
of degree coprime to 3, by
S. Pumpluen
(20 Jun 2008)
 [255]
Extended affine Lie algebras and other generalizations
of affine Lie algebras  a survey, by
E. Neher
(21 May 2008)
 [254]
Gradings on d_{4}, by
C. Draper, C. Martín and A. Viruel
(9 May 2008)
 [253]
Inner derivations of alternative algebras over commutative rings, by
Ottmar Loos, Holger P. Petersson and Michel L. Racine
(3 Apr 2008 and 26 Sep 2008)
 [252]
Alternative Algebras, by
Kevin McCrimmon
(24 Feb 2008)
 [251]
Contractively complemented subspaces of presymmetric spaces, by
Matthew Neal and Bernard Russo
(5 Feb 2008)
 [250]
Is there a Jordan geometry underlying quantum physics?, by
W. Bertram
(23 Jan 2008)
 [249]
Symmetric bundles and representations of
Lie triple systems, by
Wolfgang Bertram and Manon Didry
(12 Dec 2007)
 [248]
Inner ideal structure of nearly Artinian Lie algebras, by
A. Fernández López, E. Garcia Gonzalez and M. Gomez Lozano
(29 Nov 2007)
 [247]
Finitely Deep Matrices, by
J. Faulkner and K. McCrimmon
(07 Nov 2007)
 [246]
Deep Matrices and their Frankenstein Actions, by
K. McCrimmon
(07 Nov 2007)
 [245]
Nondegeneracy for Lie triple systems and Kantor pairs, by
E. Garcia, M. Gomez Lozano and E. Neher
(26 Oct 2007)
 [244]
A note on Ottmar Loos' paper "Remarks on Holger P. Petersson's 'Idempotent 2 by 2 matrices' ", by
E. Neher
(4 Oct 2007 and 8 Oct 2008)
 [243]
Remarks on Holger P. Petersson's ``Idempotent 2by2 matrices'', by
Ottmar Loos
(21 Aug 2007)
 [242]
Idempotent 2by2 matrices, by
Holger P. Petersson
(19 Aug 2007)
 [241]
Martindale Quotients of Jordan Algebras, by
J. A. Anquela and K. McCrimmon
(19 Jul 2007)
 [240]
The bisymplectomorphism group of a bounded symmetric domain, by
Antonio J. Di Scala, Andrea Loi and Guy Roos
(12 Jul 2007)
 [239]
Basis of Identities of the Algebra of Simplified Insertions, by
S. Sverchkov
(9 Jun 2007)
 [238]
Jordan structures and nonassociative geometry, by
Wolfgang Bertram
(10 Jun 2007)
 [237]
On certain identities in symmetric compositions, by
P. Alberca Bjerregaard and C. Martín González
(7 Jun 2007)
 [236]
Structure and representations of Jordan algebras arising from intermolecular recombination, by
S. Sverchkov
(25 May 2007)
 [235]
On polynomial identities in associative and Jordan pairs, by
Fernando Montaner and Irene Paniello
(12 May 2007)
 [234]
Idempotents and Peirce Gradings of Jordan Algebras, by
J. A. Anquela and T. Cortés
(23 Apr 2007)
 [233]
(Withdrawn)
 [232]
Gradings on the Albert algebra and on f4, by
C. Draper and C. Martín
(24 Mar 2007)
 [231]
Models of F_{4}, by
C. Draper
(6 Mar 2007)
 [230]
Structurable Tori, by
Bruce Allison, John Faulkner and Yoji Yoshii
(22 Feb 2007)
 [229]
Polynômes de Hua, noyau de Bergman et conjecture de Lu Qikeng, by
F.Z. DemmadAbdessameud
(2 Feb 2007)
 [228]
Lie structure in semiprime superalgebras with superinvolution, by
J. Laliena and S. Sacristán
(12 Jan 2007)
 [227]
Cubic and symmetric compositions over rings, by
Ottmar Loos
(21 Dec 2006 and 20 May 2007)
 [226]
A construction of gradings of Lie algebras, by
A. Fernández López, E. García, M. Gómez Lozano and E. Neher
(4 Dec 2006)
 [225]
Cohomological invariants: exceptional groups and spin groups, by
Skip Garibaldi
(14 Sep 2006)
 [224]
Gradings on g_{2}, by
C. Draper Fontanals and C. Martin Gonzalez
(23 Aug 2006)
 [223]
Maximal algebras of quotients of Jordan algebras, by
F. Montaner
(14 Jul 2006)
 [222]
Minimal Ideals of Jordan Systems, by
J. A. Anquela and T. Cortés
(15 Jun 2006 and 17 Nov 2006)
 [221]
Homotopes and conformal deformations of symmetric spaces, by
W. Bertram
(12 Jun 2006 and 10 Jan 2007)
 [220]
Inner ideals and intrinsic subspaces, by
W. Bertram and H. Loewe
(12 Jun 2006)
 [219]
Maximal subalgebras of Jordan superalgebras, by
A. Elduque, J. Laliena and S. Sacristán
(31 May 2006)
 [218]
Nonassociative Algebras, by
M. R. Bremner, L. I. Murakami and I. P. Shestakov
(16 May 2006)
 [217]
An Artinian theory for Lie algebras, by
A. Fernández, E. García and M. Gómez Lozano
(15 May 2006)
 [216]
An evolutionary algorithm for finding an optimal basis of a subspace, by
M. R. Bremner
(28 Apr 2006)
 [215]
Classification of trilinear operations and their minimal polynomial identities, by
M. R. Bremner and L. A. Peresi
(28 Apr 2006)
 [214]
Algebras of quotients of nonsingular Jordan algebras, by
Fernando Montaner and Irene Paniello
(24 Apr 2006)
 [213]
Abelian inner ideals and gradings in Lie algebras, by
A. Fernández, E. García and M. Gómez Lozano
(30 Mar 2006)
 [212]
Symplectic Duality of Symmetric Spaces, by
Antonio J. Di Scala and Andrea Loi
(17 Mar 2006)
 [211]
Right ideals in nonassociative universal enveloping algebras of
Lie triple systems, by
J. M. PérezIzquierdo
(20 Feb 2006)
 [210]
Cayley Polynomials, by
Y. Yoshii
(23 Jan 2006)
 [209]
Jordan structures in harmonic functions and Fourier algebras on homogeneous spaces., by
ChoHo Chu and Anthony T.M. Lau
(23 Jan 2006)
 [208]
Centroids of Quadratic Jordan Superalgebras, by
Pamela A. Richardson
(23 Dec 2005 and 7 Aug 2006)
 [207]
Grassmann manifolds of Jordan algebras, by
ChoHo Chu
(23 Nov 2005)
 [206]
Groups of outer type E6 with trivial Tits algebras, by
Skip Garibaldi and Holger P. Petersson
(9 Nov 2005)
 [205]
An elemental characterization of strong primeness in Lie algebras, by
E. García and M. Gómez Lozano
(4 Nov 2005)
 [204]
Infinite dimensional Lie and Jordan algebras, by
C. Martínez
(28 Oct 2005)
 [203]
The Grassmann envelope of the Kac superalgebra sK10, by
K. McCrimmon
(16 Oct 2005)
 [202]
Classification of contractively complemented Hilbertian operator spaces, by
M. P. Neal and B. Russo
(15 Oct 2005)
 [201]
Lie GTori of Symplectic Type, by
G. Benkart and Y. Yoshii
(27 Sep 2005)
 [200]
Jordan type structures over a set with two operations, by
R. Felipe and R. Velasquez
(14 Sep 2005)
 [199]
The Kac Jordan superalgebra: automorphisms and maximal subalgebras, by
A. Elduque, J. Laliena and and S. Sacristán
(02 Sep 2005)
 [198]
The splittest Kac superalgebra K10, by
Kevin McCrimmon
(01 Sep 2005, 12 Sep 2005, 6 Oct 2005)
 [197]
Jordan algebras arising from intermolecular recombination, by
M. R. Bremner
(10 Aug 2005)
 [196]
The Jordan Algebras of a Lie Algebra, by
A. Fernández López, E. Gárcia and M. Gómez Lozano
(20 Jul 2005)
 [195]
Outer fractions in quadratic Jordan algebras, by
J. Bowling and K. McCrimmon
(02 Jul 2005)
 [194]
Generic Jordan polynomials, by
K. McCrimmon
(22 Jun 2005)
 [193]
Bergman Transformations, by
K. McCrimmon
(22 Jun 2005)
 [192]
Ideals in nonassociative universal enveloping algebras of Lie
triple systems, by
J.Mostovoy and J.M.PérezIzquierdo
(9 Jun 2005)
 [191]
On the dimension and other numerical invariants of
algebras and vector products, by
L. Cadorin, M.A. Knus and M. Rost
(5 May 2005)
 [190]
Local LesieurCroisot theory of Jordan algebras, by
F. Montaner and M. Tocon
(18 Apr 2005)
 [189]
Homotope polynomial identities in prime Jordan systems, by
Fernando Montaner
(6 Apr 2005)
 [188]
Center, Centroid, Extended Centroid and Quotients of Jordan Systems, by
E. García and M. Gómez Lozano
(4 Apr 2005)
 [187]
Isometries between JB*triples, by
ChoHo Chu and Michael Mackey
(1 Apr 2005)
 [186]
Dirichlet forms and Markov semigroups on nonassociative vector bundles, by
ChoHo Chu and Zhongmin Qian
(1 Apr 2005)
 [185]
The socle of a nondegenerate Lie algebra, by
C. Draper Fontanals, A. Fernández López, E. García
González and Miguel Gómez Lozano
(30 Mar 2005)
 [184]
Generalized Jordan Polynomials and Bergmann Structions, by
K. McCrimmon
(17 Mar 2005)
 [183]
Geometries, the principle of duality, and algebraic groups, by
M. Carr and S. Garibaldi
(25 Feb 2005)
 [182]
Reflection systems and partial root systems, by
O. Loos and E. Neher
(25 Feb 2005 and 1 Mar 2007)
 [181]
The centroid of extended affine and root graded Lie algebras, by
G. Benkart and E. Neher
(24 Feb 2005)
 [180]
Cyclic Compositions and Trisotopies, by
H. P. Petersson
(17 Feb 2005 and 6 Dec 2005)
 [179]
Generically algebraic Jordan algebras over commutative rings, by
Ottmar Loos
(2 Feb 2005)
 [178]
The Alternative Daugavet Property of C*algebras and JB*triples, by
Miguel Martin
(18 Jan 2005)
 [177]
The Daugavet property of C*algebras, JB*triples, and of their isometric preduals, by
Julio Becerra Guerrero and Miguel Martin
(18 Jan 2005)
 [176]
The KählerEinstein metric for some Hartogs domains over bounded symmetric domains, by
An Wang, Weiping Yin, Liyou Zhang and Guy Roos
(14 Jan 2005)
 [175]
Locally extended affine Lie algebras, by
J. Morita and Y. Yoshii
(15 Dec 2004)
 [174]
Polynomial Identities and Speciality of Martindalelike Covers of Jordan Algebras, by
J. A. Anquela, T. Cortés, E. García and M. GómezLozano
(23 Nov 2004)
 [173]
Jordan Centers and Martindalelike Covers, by
J. A. Anquela, T. Cortés, E. García and M. GómezLozano
(23 Nov 2004)
 [172]
A combinatorial conjecture related with complex bounded symmetric domains, by
Guy Roos
(7 Nov 2004)
 [171]
Extended affine Lie algebras, by
E. Neher
(22 Oct 2004)
 [170]
Representation of contractively complemented Hilbertian operator
spaces and the Fock space, by
Matthew Neal and Bernard Russo
(15 Oct 2004)
 [169]
Weighted Bergman kernels and virtual Bergman kernels, by
Guy Roos
(10 Oct 2004)
 [168]
Inner Ideals of Finitary Lie Algebras, by
Antonio Fernández López, Esther García and Miguel
Gómez Lozano
(22 Sep 2004)
 [167]
Lie tori  A simple characterization of extended affine Lie algebras, by
Y. Yoshii
(16 May 2004)
 [166]
Derivations and automorphisms of Jordan algebras in characteristic two, by
P. Alberca, O. Loos and C. Martín
(4 May 2004)
 [165]
Grassmann speciality of Jordan supersystems, by
K. McCrimmon
(15 Apr 2004)
 [164]
Generically unramified Jordan algebras over commutative rings, by
O. Loos
(12 Apr 2004)
 [163]
Algebras, hyperalgebras, nonassociative bialgebras and loops, by
J. M. PérezIzquierdo
(29 Jan 2004)
 [162]
Projective completions of Jordan pairs. Part II: Manifold structures and symmetric spaces, by
Wolfgang Bertram and KarlHermann Neeb
(20 Jan 2004)
 [161]
Maximal Algebras of Martindalelike Quotients of Strongly Prime
Linear Jordan Algebras, by
J. A. Anquela, E. García and M. GómezLozano
(24 Nov 2003)
 [160]
FountainGould left orders for associative pairs, by
J. A. Anquela, T. Cortés, M. Gómez Lozano and M. Siles Molina
(24 Nov 2003)
 [159]
The Jordan socle and finitary Lie algebras, by
A. Fernández López, E. García and M. Gómez Lozano
(22 Nov 2003)
 [158]
Quadratic Jordan Fractions, by
James Bowling
(11 Nov 2003)
 [157]
Root systems extended by an abelian group and their Lie algebras, by
Y. Yoshii
(31 Oct 2003)
 [156]
The Maximal Left Quotient Rings of Alternative Rings, by
L. Artacho Cárdenas, M. Gómez Lozano and J. Ruiz Calviño
(22 Oct 2003)
 [155]
The number of nonisomorphic nonassociative algebras over a
finite field, by
Holger P. Petersson and Matthias Scherer
(04 Sep 2003)
 [154]
State spaces of JB*triples, by
Matthew Neal and Bernard Russo
(12 Aug 2003)
 [153]
Lectures on RAlgebras, by
Kurt Meyberg
(8 Aug 2003)
 [152]
A NonOrthogonal CayleyDickson Doubling, by
S. Pumplün
(04 Jul 2003)
 [151]
Jordan Systems of Martindalelike Quotients, by
E. García and M. Gómez Lozano
(03 Jul 2003)
 [150]
Hopf duals, algebraic groups, and Jordan pairs, by
John R. Faulkner
(12 Jun 2003)
 [149]
Projective completions of Jordan pairs. Part I: The generalized
projective geometry of a Lie algebra, by
W. Bertram and K.H. Neeb
(12 Jun 2003)
 [148]
New classes of domains with explicit Bergman kernel, by
Guy Roos and Weiping Yin
(2 Apr 2003)
 [147]
On locally finite split Lie triple systems, by
Antonio J. Calderón Martín and Manuel Forero Piulestán
(20 Mar 2003)
 [146]
On infinite dimensional Lie algebras having a Cartan decomposition, by
Antonio J. Calderón Martín and Manuel Forero Piulestán
(20 Mar 2003)
 [145]
Left quotient associative pairs and Morita invariant properties, by
M. Gómez Lozano and M. Siles Molina.
(12 Mar 2003)
 [144]
Quartic exercises, by
M.A. Knus and J.P. Tignol
(5 Mar 2003)
 [143]
3Graded Lie algebras with Jordan finiteness conditions, by
A. Fernández López, E. García and M. Gómez Lozano
(21 Feb 2003)
 [142]
Special identity for NovikovJordan algebras, by
Askar Dzhumadil'daev
(9 Feb 2003)
 [141]
Sums of Squares in Octonion Algebras, by
S. Pumplün
(05 Feb 2003)
 [140]
Algebras of quotients of Lie algebras, by
M. Siles
(20 Jan 2003)
 [139]
Quotient rings and FountainGould left orders by the local
approach, by
Miguel Gómez Lozano and Mercedes Siles Molina
(18 Nov 2002)
 [138]
Left, right, and inner socles of associative systems, by
J. A. Anquela, T. Cortés, M. GómezLozano and M. SilesMolina
(13 Nov 2002)
 [137]
Twodimensional real division algebras revisited, by
M. Huebner and H.P. Petersson
(22 Oct 2002)
 [136]
A Taste of Jordan Algebras, by
K. McCrimmon
(22 Oct 2002)
 [135]
Locally finite root systems, by
O. Loos and E. Neher
(18 Oct 2002)
 [134]
Structure theorems for Jordan algebras of degree three over
fields of arbitrary characteristic, by
Holger P. Petersson
(4 Oct 2002)
 [133]
Outer Inheritance of Simplicity in Jordan Systems, by
J. A. Anquela, T. Cortes, E. Garcia and K. McCrimmon
(13 Sep 2002)
 [132]
Derivations of Orthosymplectic Lie Superalgebras, by
A. Duff
(11 Sep 2002)
 [131]
An introduction to universal central extensions of Lie
superalgebras, by
E. Neher
(6 Sep 2002)
 [130]
The Magic Square and Symmetric Compositions, by
A. Elduque
(12 Jun 2002)
 [129]
Involutions on Composition Algebras, by
S. Pumplün
(22 May 2002)
 [128]
Simple (1,1) Balanced Freudenthal Kantor Triple Systems, by
A. Elduque, N. Kamiya and S. Okubo
(3 Apr 2002)
 [127]
Strongly Prime Jordan pairs with nonzero socle, by
A. Fernández López and M. Tocón Barroso
(15 Mar 2002)
 [126]
On the CRstructure of compact group orbits
associated with bounded symmetric domains, by
W. Kaup and D. Zaitsev
(7 Mar 2002)
 [125]
The etale Tits process of Jordan algebras revisited, by
H.P. Petersson and M.L. Thakur
(7 Mar 2002)
 [124]
Lie Superalgebras Graded by the Root System A(m,n), by
G. Benkart and A. Elduque
(26 Feb 2002)
 [123]
GelfandKirillov dimension and local finiteness of Jordan
superpairs covered by grids and their associated Lie superalgebras, by
E. Garcia and E. Neher
(22 Feb 2002)
 [122]
Computing the derivation Lie algebra of the quadratic Jordan
algebra H3(Os,) at any characteristic, by
P. Alberca Bjerregaard and C. Martín González
(18 Feb 2002)
 [121]
On derivation algebras of some exceptional Jordan algebras in
characteristic two, by
P. Alberca Bjerregaard and C. Martín González
(18 Feb 2002)
 [120]
Bounded symmetric domains and derived geometric structures, by
W. Kaup
(6 Feb 2002)
 [119]
Normal contractive projections preserve type, by
ChoHo Chu, Matthew Neal and Bernard Russo
(21 Jan 2002)
 [118]
Operator space characterizations of C*algebras and ternary rings, by
Matthew Neal and Bernard Russo
(21 Jan 2002)
 [117]
GelfandKirillov Dimension and Local Finiteness of Special Jordan Superalgebras, by
E. Garcia
(14 Jan 2002)
 [116]
Quaternions, octonions and the forms of the exceptional
simple classical Lie superalgebras, by
A. Elduque
(11 Jan 2002)
 [115]
Hilbert C*modules are JB*triples, by
J. M. Isidro
(19 Dec 2001)
 [114]
Jordan Cubes and Associative Powers, by
J. A. Anquela and T. Cortes
(19 Dec 2001)
 [113]
The geometry of null systems, Jordan algebras and
von Staudt's theorem, by
W. Bertram
(22 Nov 2001)
 [112]
Lie superalgebras graded by the root systems
C(n), D(m,n), D(2,1;a), F(4), and G(3), by
G. Benkart and A. Elduque
(17 Nov 2001)
 [111]
The Scalar Center for Quadratic Jordan Algebras, by
Bernard Fulgham
(15 Nov 2001)
 [110]
Manifolds of algebraic elements in JB*triples, by
Jose M. Isidro
(1 Nov 2001)
 [109]
The manifold of finite rank projections in
the algebra L(H) of bounded linear operators, by
J. M. Isidro and M. Mackey
(10 Oct 2001)
 [108]
Lie Superalgebras Graded by the Root System B(m,n), by
G. Benkart and A. Elduque
(12 Sep 2001)
 [107]
TitsKantorKoecher Superalgebras of Jordan superpairs covered by grids, by
E. Garcia and E. Neher
(1 Sep 2001)
 [106]
Semiprime, prime and simple Jordan superpairs covered by grids, by
E. Garcia and E. Neher
(1 Sep 2001)
 [105]
The Tits Construction and the exceptional simple classical Lie
superalgebras, by
G. Benkart and A. Elduque
(20 Jul 2001)
 [104]
The extended structure group of an alternative algebra, by
Holger P. Petersson
(19 Jul 2001)
 [103]
Simple, Primitive and Strongly Prime Jordan 3Graded Lie Algebras, by
E. Garcia
(19 Jul 2001)
 [102]
TitsKantorKoecher Algebras of Strongly Prime Hermitian Jordan Pairs, by
E. Garcia
(17 Jul 2001)
 [101] Covariant Symbolic Calculi on Real Symmetric Domains,
by J. Arazy and H. Upmeier (25 Jun 2001)
 [100] A New Construction of the Kac Jordan Superalgebra,
by G. Benkart and A. Elduque (19 Jun 2001)
 [99] Irreducible unital right alternative bimodules,
by L. I. Murakami and I. Shestakov (16 May 2001)
 [98] Jordan superpairs covered by grids and their TitsKantorKoecher
superalgebras,
by E. García and E. Neher (19 Apr 2001)
 [97] On the axiomatic definition of real JB*triples,
by Antonio M. Peralta (17 Apr 2001)
 [96] Derivations and Invariant Forms of Jordan and Alternative Tori,
by E. Neher and Y. Yoshii (11 Apr 2001, updated 25 Jan 2002)
 [95] Maximal modular inner ideals in Jordan systems,
by E. García Rus and F. Montaner (09 Apr 2001)
 [94] Left quotient rings of alternative rings,
by M. Gomez Lozano and M. Siles Molina (04 Apr 2001)
 [93] Local and subquotient inheritance of the heart of a Jordan system,
by J. A. Anquela, T. Cortés, and E. García (04 Apr 2001)
 [92] Simplicity of the heart of a nondegenerate Jordan system,
by J. A. Anquela, T. Cortés, and E. García (04 Apr 2001)
 [91] The alternative DunfordPettis
property in the predual of a von Neumann algebra,
by Miguel Martín and Antonio M. Peralta (15 Dec 2000)
 [90] Generalized projective geometries. Part II:
General theory and equivalence with Jordan structures,
by W. Bertram (13 Dec 2000)
 [89] Generalized projective geometries. Part I:
From linear algebra via affine algebra to projective algebra,
by W. Bertram (13 Dec 2000)
 [88] On Summing Operators on JB*triples,
by Antonio M. Peralta (4 Dec 2000)
 [87] On generic triality,
M.A. Knus, R. Parimala and R. Sridharan (15 Nov 2000)
 [86] Derivations on real and
complex JB*triples, by Tony Ho, Juan Martínez Moreno,
Antonio M. Peralta, and Bernard Russo (7 Nov 2000)
 [85] Grothendieck's inequalities
revisited, by Antonio M. Peralta and Angel Rodríguez Palacios (7 Nov 2000)
 [84] The Rost invariant has trivial kernel for
quasisplit groups of low rank, by R. Skip Garibaldi (31 Oct 2000)
 [83] Quadratic Jordan
superpairs covered by grids, by E. Neher (1 Sep 2000, updated 1 May 2003)
 [82] Angular Derivatives on Bounded Symmetric Domains, by M. Mackey and P. Mellon (17 Aug 2000)
 [81] Octonion algebras obtained from associative algebras with involution, by H. P. Petersson and M. L. Racine (3 Aug 2000)
 [80] Contractive projections and operator spaces, by M. Neal and B. Russo (2 Aug 2000)
 [79] A note on moduli of inner ideals in Jordan systems, by F. Montaner (26 Jul 2000)
 [78] Polynomial functions on Jordan pairs, by O. Loos (13 Jul 2000)
 [77] Herstein's Theorems and Simplicity of Hermitian Jordan Systems, by J. A. Anquela, T. Cortes, and E. Garcia (21 Jun 2000)
 [76] Rootgraded Lie algebras with compatible grading, by Y. Yoshii (31 May 2000)
 [75] Coordinate algebras of extended affine Lie algebras of type A_{1}, by Y. Yoshii (31 May 2000)
 [74] Peirce Gradings of Jordan Systems, by J. A. Anquela and T. Cortés (18 May 2000)
 [73] Derivations on Banach Jordan pairs, by A. Fernández López, H. Marhnine and C. Zarhouti (25 Apr 2000)
 [72] An alternative DunfordPettis property for JB*triples, by María D. Acosta and Antonio M. Peralta (14 Apr 2000)
 [71] Grothendieck's inequalities for real and complex JBW*triples, by Antonio M. Peralta and Angel Rodríguez Palacios (15 Mar 2000)
 [70] Jordan superalgebras defined by brackets, by C.Martinez, I. P. Shestakov and E. Zelmanov (10 Mar 2000)
 [69] Speciality of LieJordan algebras, by A. N. Grishkov and I. P. Shestakov (7 Mar 2000)
 [68] Speciality and Deformations of Algebras, by I. P. Shestakov (7 Mar 2000)
 [67] On a class of Jordan Dbialgebras, by V. N. Zhelyabin (3 Mar 2000)
 [66] Jordan superalgebras with a solvable even part, by V. N. Zhelyabin (3 Mar 2000)
 [65] The KantorKoecherTits construction for Jordan coalgebras, by V. N. Zhelyabin (3 Mar 2000)
 [64] Local and Subquotient Inheritance of Simplicity in Jordan Systems, by J. A. Anquela and T. Cortés (28 Feb 2000)
 [63] The manifold of finite rank projections
in the space L(H), by José M. Isidro (24 Feb 2000)
 [62] Separate
weak*continuity of the triple product in dual real JB*triples.
, by J. Martínez, A. M. Peralta (2 Dec 1999)
 [61] Little Grothendieck's
Theorem for real JB*triples , by A. M. Peralta (2 Dec 1999)
 [60] Manifolds of
tripotents in JB*triples. , by ChoHo Chu, J. M. Isidro (10 Nov
1999)
 [59] The manifold of
minimal tripotents in classical Cartan factors , by J. M. Isidro
(9 Nov 1999)
 [58] Holomorphic
automorphisms of continuous products of balls , by J. M. Isidro, L.
L. Stachó (9 Nov 1999)
 [57] The manifold of
minimal partial isometries in the space L(H, K) of bounded linear
operators , by J. M. Isidro (8 Nov 1999)
 [56] On the Lie
Structure of the Skew Elements of a Prime superalgebra with
Superinvolution. , by C. GómezAmbrosi, J. Laliena, I. P. Shestakov
(3 Nov 1999)
 [55] Cohomologies of
finitedimensional simple alternative superalgebras of characteristic 3
, by M.C. LópezDíaz (26 Oct 1999)
 [54] Extracting square
roots of Bergmann operators , by O. Loos (24 Sep 1999)
 [53] The
PoissonFurstenberg kernel of a bounded symmetric domain , by F.
Vandebrouck (20 Sep 1999)
 [52] Cartanfaktoren, reelle Formen
und ihre Strukturgruppen (Cartan factors, real forms and their structure
groups) , by F. Lutscher (15 Sep 1999)
 [51] On continuous Peirce
decompositions, Schur multipliers and the perturbation of triple
functional calculus , by J. Arazy, W. Kaup (12 Sep 1999)
 [50] On
speciality of Bernstein Jordan algebras , by M.C. LópezDíaz, I. P.
Shestakov, S. R. Sverchkov. (8 Sep 1999)
 [49] The
Wedderburn decomposition in finitedimensional alternative superalgebras
in caracteristic 3. , by M.C. LópezDíaz (7 Sep 1999)
 [48] On algebras
satisfying x^2x^2=N(x)x , by A. Elduque, S. Okubo (25 Aug 1999)
 [47] On symmetric
CauchyRiemann manifolds , by W. Kaup, D. Zaitsev (13 Aug 1999)
 [46] On
Grassmannians associated with JB*triples , by W. Kaup (2 Aug
1999)
 [45] Boundary
structure of bounded symmetric domains , by W. Kaup, J. Sauter
(27 Jul 1999)
 [44] A new
approach to the representation of the Lorentz group on the
spinors , by Yaakov Friedman, Bernard Russo (22 Jul 1999)
 [43] On the Zelmanovian
classification of prime JB*triples , by A. MorenoGalindo, A.
RodríguezPalacios (10 Jul 1999)
 [42] Primitive
algebras with PI primitizers , by J. A. Anquela, E. Garcia (8 Jun
1999)
 [41] The
classification of twodimensional nonassociative algebras , by
Holger P. Petersson (1 Jun 1999)
 [40] Outer
Inheritance in Jordan Systems , by J. A. Anquela,T. Cortes (3 May
1999)
 [39] The Structure of
Quadratic Jordan Systems of Clifford Type , by A. D'Amour, K.
McCrimmon (12 Apr 1999)
 [38] Involutions on
Rectangular Jordan Pairs , by K. McCrimmon (6 Apr 1999)
 [37] On some
algebras related to simple Lie triple systems , by M.P. Benito, C.
Draper, A. Elduque (27 Jan 1999)
 [36] Noetherian Banach
Jordan pairs , by N. Boudi, A. Fernandez Lopez, E. Garcia Rus, H.
Marhnine, C. Zarhouti (25 Jan 1999)
 [35] Goldie theory for
Jordan algebras , by Antonio Fernandez Lopez, Eulalia Garcia Rus,
Fernando Montaner (25 Nov 1998)
 [34] Jordan Pairs and
Hopf Algebras , by John R. Faulkner (31 Jul 1998)
 [33] Grids and the
arithmetics of Jordan pairs , by Holger P. Petersson (14 Jul
1998)
 [32] Local PI theory of
Jordan systems II , by F. Montaner (23 Jun 1998)
 [31] Local PI theory of
Jordan systems , by F. Montaner (14 Jun 1998)
 [30] Transformations
Groups of the AnderssonPerlman Cone. , by Erhard Neher (29 May
1998)
 [29] Polynomial
Identities and Nonidentities of split Jordan Pairs. , by Erhard
Neher (29 May 1998)
 [28] Complexifications of Symmetric
Spaces. I. , by W. Bertram (31 Mar 1998)
 [27] Complexifications of Symmetric
Spaces and Jordan Theory. Part II: Integrability and Conformal
Group , by W. Bertram (31 Mar 1998)
 [26] Gradings
on Octonions, by A. Elduque (27 Mar 1998)
 [25] Composition algebras over
$k[t,\sqrt{at^2 +b}]$ , by S. Pumpluen (18 Mar 1998)
 [24] The Albert
algebra of generic matrices , by Holger P. Petersson (17 Mar
1998)
 [23] Quaternion
algebras over elliptic curves , by S. Pumpluen (5 Mar 1998)
 [22] Estimation and
Testing for lattice conditional independence models on Euclidean Jordan
algebras , by H. Massam, E. Neher (31 Jan 1998)
 [21] Albert
Division Algebras in Characteristic three contain Cyclic Cubic
Subfields , by Holger P. Petersson (14 Jan 1998)
 [20] A Statistical Model
for Euclidean Jordan Algebras , by E. Neher (9 Jan 1998)
 [19] A quantum
octonion algebra , by G. Benkart, J. M. PerezIzquierdo (3 Jan
1998)
 [18] Nuclear elements in
Banach Jordan pairs , by Ottmar Loos (24 Nov 1997)
 [17] Primitivity in
Jordan Systems is Ubiquitous , by J. A. Anquela, T. Cortes (1 Sep
1997)
 [16] Central extensions of
Lie algebras graded by finite root systems , by B.N. Allison, G.
Benkart, Y. Gao (17 May 1997)
 [15] The root system and the
core of an extended affine Lie algebra , by B.N. Allison, Y. Gao
(29 Apr 1997)
 [14] LocaltoGlobal Inheritance of
Primitivity in Jordan Algebras , by J. A. Anquela, T. Cortes (13
Apr 1997)
 [13] Symmetric composition
algebras , by A. Elduque (28 Mar 1997)
 [12] Strong primeness
of hermitian Jordan systems , by J. A. Anquela, T. Cortes, K.
McCrimmon, F. Montaner (18 Mar 1997)
 [11] Strongly Regular
Jordan Triple Systems are ShiftFree , by Eulalia Garcia Rus (27
Feb 1997)
 [10] Algebraic
Lattices and Nonassociative Structures , by Antonio Fernandez
Lopez, Eulalia Garcia Rus (27 Feb 1997)
 [9] Goldie theorems
for associative pairs , by A. Fernandez Lopez, E. Garcia Rus,
M.Gomez Lozano, M. Siles Molina (27 Feb 1997)
 [8] Graded
associative algebras and Grothendieck Standard Conjectures , by O.
N. Smirnov (17 Feb 1997)
 [7] Simple
associative algebras with finite Zgrading , by O. N. Smirnov (13
Feb 1997)
 [6] On transformations
and determinants of Wishart variables on symmetric cones , by H.
Massam, E. Neher (8 Jan 1997)
 [5] The SerreRost
Invariant of Albert Algebras in Characteristic three , by Holger
P. Petersson, Michel L. Racine (1 Dec 1996)
 [4] Trace and norm for
reduced elements of Jordan pairs , by Ottmar Loos (19 Nov 1996)
 [3] Eater Ideals in
Jordan Algebras , by J. A. Anquela, M. Cabrera, A. Moreno (22 Oct
1996)
 [2] On
operatorcommutative subalgebras of Jordan algebras , by G.
Hessenberger (22 Oct 1996)
 [1] Steinberg groups and
simplicity of elementary groups defined by Jordan pairs , by Ottmar
Loos (12 Oct 1996)