Involutions on graded matrix algebras

被引：24

作者：

Bahturin, Yuri ^{[1
]}

Zalcev, Mikhail

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

[2] Moscow MV Lomonosov State Univ, Fac Math & Mech, Dept Algebra, Moscow 119992, Russia

来源：

JOURNAL OF ALGEBRA | 2007年 / 315卷 / 02期

基金：

俄罗斯基础研究基金会; 加拿大自然科学与工程研究理事会;

关键词：

matrix algebras; graded algebras; involutions; automorphisnis and antiautomorphisins;

D O I：

10.1016/j.jalgebra.2006.10.046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we describe graded antiautomorphisms of finite order on matrix algebras endowed with a group gradings by a finite abelian group over an arbitrary algebraically closed field of characteristic different front 2. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：527 / 540

页数：14

共 6 条

[1] Gradings on simple Jordan and Lie algebras
Bahturin, YA
Shestakov, IP
Zaicev, MV
[J]. JOURNAL OF ALGEBRA, 2005, 283 (02) : 849 - 868
[2] Group gradings on matrix algebras
Bahturin, YA
Zaicev, MV
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2002, 45 (04): : 499 - 508
[3] Group gradings on associative algebras
Bahturin, YA
Sehgal, SK
Zaicev, MV
[J]. JOURNAL OF ALGEBRA, 2001, 241 (02) : 677 - 698
[4] BAHTURIN YA, 2003, P INT WORKSH GROUPS, P1
[5] Bahturin Yu., 2003, LECT NOTES PURE APPL, V235, P101
[6] Rowen LH., 1980, POLYNOMIAL IDENTITIE

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