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.
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页码：307 / 319
页数：13
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