ON δ-SUPERDERIVATIONS OF SIMPLE SUPERALGEBRAS OF JORDAN BRACKETS

被引：10
|
作者：
Zhelyabin, V. N. [1 ]
Kaygorodov, I. B. [2 ]
机构：
[1] Russian Acad Sci, Sibir Branch, Sobolev Inst Math, Academician Koptyug Ave 4, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
来源：
ST PETERSBURG MATHEMATICAL JOURNAL | 2012年 / 23卷 / 04期
关键词：
delta-superdifferentiation; delta-differentiation; Jordan superalgebra; Cantor double; LIE-ALGEBRAS; DERIVATIONS;
D O I：
10.1090/S1061-0022-2012-01213-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A complete description of delta-derivations and delta-superderivations is given for simple unital superalgebras of Jordan brackets over a field of characteristic different from 2 and for simple unital finite-dimensional Jordan superalgebras over an algebraically closed field of characteristic p not equal 2. As a consequence, a criterion for simple unital superalgebras of Jordan brackets to be special is obtained.
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页码：665 / 677
页数：13
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