Involution models of finite Coxeter groups

DOI10.1515/JGT.2008.018zbMath1149.20011OpenAlexW2093873088MaRDI QIDQ3519059

C. Ryan Vinroot

Publication date: 13 August 2008

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2008.018

zbMATH Keywords

finite Coxeter groupsirreducible complex representationsinvolution models

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (10)

Generalized Involution Models of Projective Reflection Groups ⋮ Gelfand \(W\)-graphs for classical Weyl groups ⋮ How to compute the Frobenius-Schur indicator of a unipotent character of a finite Coxeter system. ⋮ Generalized involution models for wreath products. ⋮ Perfect models and Gelfand W-graphs ⋮ Perfect models for finite Coxeter groups ⋮ A Gelfand model for Weyl groups of type \(D_{2n}\). ⋮ Automorphisms and generalized involution models of finite complex reflection groups. ⋮ Gelfand models for classical Weyl groups. ⋮ Isomorphisms, automorphisms, and generalized involution models of projective reflection groups.

Cites Work

• Realizability of representations of finite groups
• Fourier transforms with respect to monomial representations
• Generalized Frobenius-Schur numbers.
• The Schur indices of the reflection group \({\mathcal I}_4\)
• Some remarks on involutions in coxeter groups
• Conjugacy classes of involutions in Coxeter groups
• Normalizers of Parabolic Subgroups of Reflection Groups
• Representations of Weyl groups of type B induced from centralisers of involutions
• Models and Involution Models for Wreath Products and Certain Weyl Groups
• The characters of the hecatonicosahedroidal group.

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