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Graded Polynomial Identities of the Jordan Superalgebra of a Bilinear Form

✍ Scribed by Sergei Yu. Vasilovsky

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
389 KB
Volume
184
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let W s s W Ε½ p. [ W Ε½2 q . be a direct sum of two vector spaces of dimension p p, 2 q 0 1 and 2 q, respectively, over a field k of characteristic zero, p s 2, 3, . . . , Ο±; q s Β² : s 1, 2, . . . , Ο±; and let x, y be a nondegenerate bilinear form on W which is

Β² Ε½ p . Ε½ 2q. : symmetric on W and skew-symmetric on W and such that W , W s 0 1 01 Β² Ε½ 2 q . Ε½p . :

is a simple Jordan superalgebra, with k q W Ε½ p. as its even component and W Ε½2 q .

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