Gradings on Finite-Dimensional Simple Lie Algebras

被引：42

作者：

Kochetov, Mikhail ^{[1
]}

机构：

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

来源：

ACTA APPLICANDAE MATHEMATICAE | 2009年 / 108卷 / 01期

关键词：

Graded algebra; Simple Lie algebra; Grading; Involution; MAP CONJECTURES; ASSOCIATIVE ALGEBRAS; MATRIX ALGEBRAS;

D O I：

10.1007/s10440-008-9386-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this survey paper we present recent classification results for gradings by arbitrary groups on finite-dimensional simple Lie algebras over an algebraically closed field of characteristic different from 2. We also describe the main tools that were used to obtain these results (in particular, the classification of group gradings on matrix algebras).

引用

页码：101 / 127

页数：27

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