Simple Special Jordan Superalgebras with Associative Even Part |
| |
Authors: | Zhelyabin V N Shestakov I P |
| |
Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk;(2) Universidade de Sao Paulo, Brazil;(3) Sobolev Institute of Mathematics, Novosibirsk |
| |
Abstract: | We describe the simple special unital Jordan superalgebras with associative even part A whose odd part M is an associative module over A. We prove that each of these superalgebras, not isomorphic to a superalgebra of nondegenerate bilinear superform, is isomorphically embedded into a twisted Jordan superalgebra of vector type. We exhibit a new example of a simple special Jordan superalgebra. We also describe the superalgebras such that M A,M] 0. |
| |
Keywords: | Jordan superalgebra (-1 1)-superalgebra twisted superalgebra of vector type differentiably simple algebra projective module localization of module |
本文献已被 SpringerLink 等数据库收录! |