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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