Jordan Theory Preprint Archives

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Events

• Fields Institute workshop on Exceptional Algebras and Groups, April 19-22, 2012, Ottawa, Canada
• Málaga Workshop on Lie and Jordan Structures 2012, June 1-4, 2012, Málaga, Spain
• Lie and Jordan Algebras, their Representations and Applications V, July 8-13, 2012, Belém, Brazil
• Fields Institute Thematic Program on Torsors, Nonassociative Algebras and Cohomological Invariants, January-June 2013, Toronto, Canada
• Mini-courses: Quadratic forms, A¹-homotopy theory and exceptional groups, June 10-14, 2013, Lens, France

The Preprints

• [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 E₈, by J. R. Faulkner (2 May 2013)
• [328] Rank one groups and division pairs, by O. Loos (23 Feb 2013)
• [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 U-operators 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 Space-Time 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 non-flexible 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 Cho-Ho 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. Sánchez-Ortega (27 May 2011)
• [306] A brief note on local-global 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 Cayley-Dickson process, by Cristina Flaut (10 Feb 2011)
• [301] Real non-unital 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 skew-rank 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 PI-algebras with an algebraic adjoint representation revisited, by A. Fernández López (13 Oct 2010)
• [294] How to obtain division algebras from twisted Cayley-Dickson 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 Cayley-Dickson 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, K-theory, and conic division algebras, by Skip Garibaldi and Holger P. Petersson (24 Feb 2010)
• [284] Continuity of deriations of Banach-Lie algebras, by A. Fernández López (23 Feb 2010)
• [283] The Lie algebra of skew-symmetric elements and its application in the theory of Jordan algebras, by S. R. Sverchkov (19 Feb 2010)
• [282] A non-computational 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] Banach-Lie 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 g₂ and of f₄, by A. Calderón, C. Draper and C. Martín (22 Sep 2009)
• [274] Lie tori of type B₂ and graded-simple Jordan structures covered by a triangle, by Erhard Neher and Maribel Tocón (23 Aug 2009)
• [273] Special identities for quasi-Jordan 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] Banach-Lie 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] Delta-derivations of simple finite-dimensional Jordan superalgebras, by I. B. Kaygorodov (17 Feb 2009)
• [266] Power-associative 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 skew-rank 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 Cho-Ho Chu (28 Sep 2008)
• [260] Pi-complemented 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 d₄, 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 pre-symmetric 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 2-by-2 matrices'', by Ottmar Loos (21 Aug 2007)
• [242] Idempotent 2-by-2 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 non-associative 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] Local Nilpotency of the McCrimmon Radical of a Jordan System, by J. A. Anquela (16 Apr 2007)
• [232] Gradings on the Albert algebra and on f4, by C. Draper and C. Martín (24 Mar 2007)
• [231] Models of F₄, 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. Demmad-Abdessameud (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 g₂, 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 non-associative universal enveloping algebras of Lie triple systems, by J. M. Pérez-Izquierdo (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 Cho-Ho 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 Cho-Ho 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 G-Tori 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 non-associative universal enveloping algebras of Lie triple systems, by J.Mostovoy and J.M.Pérez-Izquierdo (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 Lesieur-Croisot 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 Cho-Ho Chu and Michael Mackey (1 Apr 2005)
• [186] Dirichlet forms and Markov semigroups on non-associative vector bundles, by Cho-Ho 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 Kähler-Einstein 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 Martindale-like Covers of Jordan Algebras, by J. A. Anquela, T. Cortés, E. García and M. Gómez-Lozano (23 Nov 2004)
• [173] Jordan Centers and Martindale-like Covers, by J. A. Anquela, T. Cortés, E. García and M. Gómez-Lozano (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. Pérez-Izquierdo (29 Jan 2004)
• [162] Projective completions of Jordan pairs. Part II: Manifold structures and symmetric spaces, by Wolfgang Bertram and Karl-Hermann Neeb (20 Jan 2004)
• [161] Maximal Algebras of Martindale-like Quotients of Strongly Prime Linear Jordan Algebras, by J. A. Anquela, E. García and M. Gómez-Lozano (24 Nov 2003)
• [160] Fountain-Gould 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 non-associative 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 R-Algebras, by Kurt Meyberg (8 Aug 2003)
• [152] A Non-Orthogonal Cayley-Dickson Doubling, by S. Pumplün (04 Jul 2003)
• [151] Jordan Systems of Martindale-like 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] 3-Graded Lie algebras with Jordan finiteness conditions, by A. Fernández López, E. García and M. Gómez Lozano (21 Feb 2003)
• [142] Special identity for Novikov-Jordan 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 Fountain-Gould 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. Gómez-Lozano and M. Siles-Molina (13 Nov 2002)
• [137] Two-dimensional 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 CR-structure 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] Gelfand-Kirillov 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 Cho-Ho 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] Gelfand-Kirillov 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] Tits-Kantor-Koecher 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 3-Graded Lie Algebras, by E. Garcia (19 Jul 2001)
• [102] Tits-Kantor-Koecher 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 Tits-Kantor-Koecher 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 Dunford-Pettis 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 quasi-split 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] Root-graded Lie algebras with compatible grading, by Y. Yoshii (31 May 2000)
• [75] Coordinate algebras of extended affine Lie algebras of type A₁, 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 Dunford-Pettis 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 Lie-Jordan 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 D-bialgebras, by V. N. Zhelyabin (3 Mar 2000)
• [66] Jordan superalgebras with a solvable even part, by V. N. Zhelyabin (3 Mar 2000)
• [65] The Kantor-Koecher-Tits 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 Cho-Ho 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. Gómez-Ambrosi, J. Laliena, I. P. Shestakov (3 Nov 1999)
• [55] Cohomologies of finite-dimensional simple alternative superalgebras of characteristic 3 , by M.C. López-Díaz (26 Oct 1999)
• [54] Extracting square roots of Bergmann operators , by O. Loos (24 Sep 1999)
• [53] The Poisson-Furstenberg 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. López-Díaz, I. P. Shestakov, S. R. Sverchkov. (8 Sep 1999)
• [49] The Wedderburn decomposition in finite-dimensional alternative superalgebras in caracteristic 3. , by M.C. López-Díaz (7 Sep 1999)
• [48] On algebras satisfying x^2x^2=N(x)x , by A. Elduque, S. Okubo (25 Aug 1999)
• [47] On symmetric Cauchy-Riemann 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. Moreno-Galindo, A. Rodríguez-Palacios (10 Jul 1999)
• [42] Primitive algebras with PI primitizers , by J. A. Anquela, E. Garcia (8 Jun 1999)
• [41] The classification of two-dimensional 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 Andersson-Perlman Cone. , by Erhard Neher (29 May 1998)
• [29] Polynomial Identities and Non-identities 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. Perez-Izquierdo (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] Local-to-Global 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 Shift-Free , 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 Z-grading , 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 Serre-Rost 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 operator-commutative 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)