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A note on the decomposition of the exterior algebra of the adjoint representation

 

作者: Mark J. Logan,  

 

期刊: Communications in Algebra  (Taylor Available online 2000)
卷期: Volume 28, issue 8  

页码: 3739-3742

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008827053

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

This note points out a factor of the Poincaré polynomial of the λ-isotypic component of the exterior algebra λL, whereLis a complex semisimple Lie algebra and λ is a dominant weight. Although these polynomials have been studied with regard to their factorizations, this particular factor seems to have gone unstated.

 

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