An Explicit Rational Structure for Real Semisimple Lie Algebras

被引：0

作者：

Kammeyer, Holger ^{[1
]}

机构：

[1] Univ Bonn, Math Inst, D-53115 Bonn, Germany

来源：

JOURNAL OF LIE THEORY | 2014年 / 24卷 / 02期

关键词：

Semisimple Lie algebra; rational basis; Chevalley basis; REPRESENTATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a convenient basis for all real semisimple Lie algebras by means of an adapted Chevalley basis of the complexification. It determines rational and in fact half-integer structure constants which we express only in terms of the root system and the involution that defines the 'real structure.

引用

页码：307 / 319

页数：13

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