GROUP ALGEBRAS OF FINITE GROUPS AS LIE ALGEBRAS

被引：1

作者：

Marin, Ivan ^{[1
]}

机构：

[1] Univ Paris 07, Inst Math Jussieu, F-75013 Paris, France

来源：

COMMUNICATIONS IN ALGEBRA | 2010年 / 38卷 / 07期

关键词：

Group algebras; Lie algebras; Frobenius-Schur indicator;

D O I：

10.1080/00927870903417638

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the natural Lie algebra structure on the (associative) group algebra of a finite group G, and show that the Lie subalgebras associated to natural involutive antiautomorphisms of this group algebra are reductive ones. We give a decomposition in simple factors of these Lie algebras, in terms of the ordinary representations of G.

引用

页码：2572 / 2584

页数：13

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