Duality in the Normalizer of a Parabolic Subgroup of a Finite Coxeter Group
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Publication:3939994
DOI10.1112/blms/14.2.133zbMath0482.20029OpenAlexW2047152018MaRDI QIDQ3939994
Robert B. Howlett, Gustav Isaac Lehrer
Publication date: 1982
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/blms/14.2.133
parabolic subgroupsCoxeter grouproot systemCoxeter complexpermutation charactervirtual charactersfinite Coxeter systemsign characterHopf trace formula
Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05)
Related Items (7)
Representations of Generic Algebras and Finite Groups of Lie Type ⋮ Embeddings of Hecke algebras in group algebras ⋮ Strong Reality Properties of Normalizers of Parabolic Subgroups in Finite Coxeter Groups ⋮ On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes ⋮ Representations of finite groups ⋮ Cohomology of Coxeter arrangements and Solomon’s descent algebra ⋮ Wave fronts of tempered representations with unipotent reduction for \(\mathrm{SO}(2n+1)\)
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