δ-derivations of simple finite-dimensional Jordan superalgebras

被引：23

作者：

Kaygorodov, N. B. ^{[1
]}

机构：

[1] Novosibirsk State Univ, Novosibirsk, Russia

来源：

ALGEBRA AND LOGIC | 2007年 / 46卷 / 05期

基金：

俄罗斯基础研究基金会;

关键词：

delta-derivation; simple finite-dimensional Jordan superalgebra;

D O I：

10.1007/s10469-007-0032-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe non-trivial delta-derivations of semisimple finite-dimensional Jordan algebras over an algebraically closed field of characteristic not 2, and of simple finite-dimensional Jordan superalgebras over an algebraically closed field of characteristic 0. For these classes of algebras and superalgebras, non-zero d-derivations are shown to be missing for delta not equal 0, 1/2, 1, and we give a complete account of 1/2-derivations.

引用

页码：318 / 329

页数：12

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