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

Mark J. Logan

Research output: Contribution to journalReview article

Abstract

This note points out a factor of the Poincaré polynomial of the λ-isotypic component of the exterior algebra Λ L, where L is 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.

Original languageEnglish (US)
Pages (from-to)3739-3742
Number of pages4
JournalCommunications in Algebra
Volume28
Issue number8
DOIs
StatePublished - Jan 1 2000
Externally publishedYes

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