Simple finite-dimensional right-alternative superalgebras of Abelian type of characteristic zero

被引：16

作者：

Pchelintsev, S. V. ^{[1
]}

Shashkov, O. V. ^{[2
]}

机构：

[1] Financial Univ, Govt Russian Federat, Moscow, Russia

[2] Moscow State Reg Inst Humanities, Orekhovo Zuyevo, Moscow Region, Russia

来源：

IZVESTIYA MATHEMATICS | 2015年 / 79卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

simple superalgebra; right-alternative superalgebra; NONCOMMUTATIVE JORDAN SUPERALGEBRAS;

D O I：

10.1070/IM2015v079n03ABEH002753

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify simple finite-dimensional right-alternative superalgebras A = A(0) circle plus A(1) over a field of characteristic zero in which the even part A(0) is associative and commutative, while A(1) is an associative A(0)-bimodule. We prove that every such superalgebra A = A(0) circle plus A(1) is obtained by doubling the semisimple even part A(0), and the multiplication in A is defined using a suitable automorphism and a linear operator acting on A(0).

引用

页码：554 / 580

页数：27

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