Ebook: Non-Associative Algebra and Its Applications

This volume contains the proceedings of the Third International Conference on Non-Associative Algebra and Its Applications, held in Oviedo, Spain, July 12--17, 1993. The conference brought together specialists from all over the world who work in this interesting and active field, which is currently enjoying much attention.
All aspects of non-associative algebra are covered. Topics range from purely mathematical subjects to a wide spectrum of applications, and from state-of-the-art articles to overview papers. This collection will point the way for further research for many years to come.
The volume is of interest to researchers in mathematics as well as those whose work involves the application of non-associative algebra in such areas as physics, biology and genetics.

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Content:
Front Matter....Pages i-xii
Malcev Superalgebras....Pages 1-7
The First Tits Construction of Albert Algebras over Locally Ringed Spaces....Pages 8-11
Cayley-Klein Lie Algebras and Their Quantum Universal Enveloping Algebras....Pages 12-16
On Constructions of Nonsolvable Lie Algebras Whose Ideals are in Chain....Pages 17-23
Lie Algebras Graded by Root Systems....Pages 24-30
Bernstein Representations....Pages 31-38
On Free Differentials on Associative Algebras....Pages 39-45
On Primitive Jordan Banach Algebras....Pages 46-53
Zel’Manov’s Theorem for Nondegenerately Ultraprime Jordan-Banach Algebras....Pages 54-59
Jordan H*-Triple Systems....Pages 60-65
Prime Alternative Triple Systems....Pages 66-72
M-Ideals of Schreier Type and the Dunford-Pettis Property....Pages 73-79
Spectra of Elements of a Nonassociative Algebra....Pages 80-85
Ranges of Elements of a Nonassociative Algebra....Pages 86-92
Coordinatization of Jordan Algebras over Locally Ringed Spaces....Pages 93-98
Sur La D?composition de Peirce....Pages 99-105
On Transitive Left-Symmetric Algebras....Pages 106-113
Spectral Study of Some Topological Jordan Algebras....Pages 114-121
Representations of Reduced Enveloping Algebras....Pages 122-127
A Cohomological Characterization of Solvable Modular Lie Algebras....Pages 128-132
An Extension of the Zel’Manov-Goldie Theorem....Pages 133-139
On the Unitarization of Highest Weight Representations for Affine Kac-Moody Algebras....Pages 140-146
Cohn’s Theorem for Superalgebras....Pages 147-152
On Bernstein Algebras of n-th Order....Pages 153-157
On Bernstein Algebras....Pages 158-163
Realization of Lie Algebras with Polynomial Vector Fields....Pages 164-170
Les Alg?bres de Kac-Moody et L’Homologie Di?drale....Pages 171-175
Quadratic Differential Equations in Graded Algebras....Pages 176-178
Projective Double Lie Algebras on a Lie Algebra....Pages 179-182
On Derivation Algebras of Group Algebras....Pages 183-187
J-Diviseurs Topologiques de Z?ro Dans Une Alg?bre de Jordan N.C. Norm?e....Pages 188-192
On Freudenthal-Kantor Triple Systems and Generalized Structurable Algebras....Pages 193-197
Hermitian Jordan Triple Systems and the Automorphisms of Bounded Symmetric Domains....Pages 198-203
Quadratic Differential Equations on Graded Structures....Pages 204-214
A Generalization of Novikov Rings....Pages 215-218
Automorphismes et D?rivations Dans Les Alg?bres de Barker....Pages 219-222
Lattice Isomorphisms of Jordan Algebras over Arbitrary Fields....Pages 223-228
Multibaric Algebras....Pages 229-234
The Bernstein Problem in Mathematical Genetics and Bernstein Algebras....Pages 235-240
Les Alg?bres de Mutation....Pages 241-244
Non Associative Graded Algebras....Pages 245-250
Tracial Elements for Nonassociative H*-Algebras....Pages 251-256
On Lattice Isomorphism of Bernstein Algebras....Pages 257-268
Bernstein Algebras Whose Lattice Ideals is Linear....Pages 269-274
Local Algebras....Pages 275-278
Applications of Fox Differential Calculus to Free Lie Superalgebras....Pages 279-284
On the Cohomology for the Witt Algebra W(1,1)....Pages 285-290
3-Graded Lie Algebras and Jordan Pairs....Pages 291-295
Super-Triple Systems, Normal and Classical Yang-Baxter Equations....Pages 296-299
A Conjecture on Locally Novikov Algebras....Pages 300-308
Coalgebra, Cocomposition and Cohomology....Pages 309-313
Minimal Polynomial Identities of Baric Algebras....Pages 314-322
On Power Associative Composition Algebras....Pages 323-329
Enumeration and Classification of Albert Algebras: Reduced Models and the Invariants Mod 2....Pages 330-333
Composition Algebras over Open Dense Subschemes of Curves of Genus Zero....Pages 334-340
Simple Jordan Superalgebras....Pages 341-343
Absolute Valued Algebras of Degree Two....Pages 344-349
On a Generalization of the Jordan Inverse....Pages 350-356
On Geodesic Loops of Trans-Symmetric Spaces....Pages 357-360
Quadratic Systems, Blow-Up, and Algebras....Pages 361-366
Quantization of Poisson Superalgebras and Speciality of Jordan Poisson Superalgebras....Pages 367-371
Duplicated Algebras of Algebras....Pages 372-378
Introduction Aux Alg?bres de Bernstein P?riodiques....Pages 379-383
Random Jordan Derivations....Pages 384-388
Algebras of Rank Three....Pages 389-394
Inner Product Characterizations of Classical Cayley-Dickson Algebras....Pages 395-399
Sur Les ?-Alg?bres de Jordan Non Commutatives, de Division, de Dimension 8, Poss?dant Un Automorphisme Ou Une D?rivation Non Triviaux....Pages 400-404
....Pages 405-409