Minimal faithful representations of reductive Lie algebras

被引：20

作者：

Burde, Dietrich ^{[1
]}

Moens, Wolfgang ^{[1
]}

机构：

[1] Univ Vienna, Fak Math, A-1090 Vienna, Austria

来源：

ARCHIV DER MATHEMATIK | 2007年 / 89卷 / 06期

关键词：

Lie algebras; minimal faithful representations; maximal reductive; subalgebras;

D O I：

10.1007/s00013-007-2378-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an explicit formula for the invariant mu(g) for finite dimensional semisimple, and reductive Lie algebras g over C. Here mu(g) is the minimal dimension of a faithful linear representation of g. The result can be used to study Dynkin's classification of maximal reductive subalgebras of semisimple Lie algebras.

引用

页码：513 / 523

页数：11

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[No title captured]

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