Classification of group gradings on simple Lie algebras of types A, B, C and D

被引：39

作者：

Bahturin, Yuri ^{[1
]}

Kochetov, Mikhail ^{[1
]}

机构：

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

来源：

JOURNAL OF ALGEBRA | 2010年 / 324卷 / 11期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Graded algebra; Simple Lie algebra; Grading; Involution; MATRIX ALGEBRAS;

D O I：

10.1016/j.jalgebra.2010.03.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a given abelian group G, we classify the isomorphism classes of G-gradings on the simple Lie algebras of types A(n) (n >= 1), B(n) (n >= 2), C(n) (n >= 3) and D(n) (n > 4), in terms of numerical and group-theoretical invariants. The ground field is assumed to be algebraically closed of characteristic different from 2. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2971 / 2989

页数：19

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