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Invariant bilinear forms on real irreducible representations of real semisimple lie algebras*

 

作者: Jin Quanqin,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 9  

页码: 4131-4135

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008827078

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

In this note, we give a necessary and sufficient condition for a real irreducible representation of a real simple Lie algebra to admit an invariant bilinear form. We also determine when the invariant bilinear form is symmetric or skew-symmetric.

 

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