Simple Jordan superalgebras with associative nil-semisimple even part |
| |
Authors: | V N Zhelyabin |
| |
Institution: | 1.Sobolev Institute of Mathematics, Novosibirsk State University,Novosibirsk,Russia |
| |
Abstract: | Under study are the simple infinite-dimensional abelian Jordan superalgebras not isomorphic to the superalgebra of a bilinear form. We prove that the even part of such superalgebra is a differentially simple associative commutative algebra, and the odd part is a finitely generated projective module of rank 1. We describe unital simple Jordan superalgebras with associative nil-semisimple even part possessing two even elements which induce a nonzero derivation. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|