Structure of some Unital Simple Jordan Superalgebras with Associative Even Part

Сибирский математический журнал

V. N. Zhelyabin¹ 

[1] Sobolev Institute of Mathematics

关键词: Jordan superalgebra;    Grassmann superalgebra;    superalgebra of bilinear form;    derivation;    associative commutative algebra;    composition algebra;    superalgebra of vector type;    differential algebra;    projective module;   

DOI  :  10.1134/S0037446618060083

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

Studying the unital simple Jordan superalgebras with associative even part, we describe the unital simple Jordan superalgebras such that every pair of even elements induces the zero derivation and every pair of two odd elements induces the zero derivation of the even part. We show that such a superalgebra is either a superalgebra of nondegenerate bilinear form over a field or a four-dimensional simple Jordan superalgebra.

【 授权许可】

CC BY