New bases for the decomposition of the graded left regular representation of the reflection groups of type \(B_ n\) and \(D_ n\)

DOI10.1006/jabr.1995.1080zbMath0836.20058OpenAlexW2018619499MaRDI QIDQ1891730

Edward E. Allen

Publication date: 16 April 1996

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1995.1080

zbMATH Keywords

finite reflection groupsactionsirreducible componentsgraded charactersleft regular representationbasic set of invariants

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Actions of groups on commutative rings; invariant theory (13A50)

Related Items

A descent basis for the coinvariant algebra of type \(D\), Bitableaux and zero sets of dual canonical basis elements, Some graded representations of the complex reflection groups