On Gelfand models for finite Coxeter groups

DOI10.1515/JGT.2009.060zbMath1206.20004arXiv0907.4605MaRDI QIDQ3565221

Joseph Oesterlé, Shripad M. Garge

Publication date: 2 June 2010

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

Full work available at URL: https://arxiv.org/abs/0907.4605

zbMATH Keywords

finite Coxeter groupsirreducible representationspolynomial modelsGelfand models

Mathematics Subject Classification ID

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

Related Items (3)

Combinatorial Gelfand models for semisimple diagram algebras. ⋮ A Gelfand model for Weyl groups of type \(D_{2n}\). ⋮ Gelfand models for classical Weyl groups.

Cites Work

• Irreducible representations of finite classical groups
• A Gel'fand model for a Weyl group of type \(D_n\) and the branching rules \(D_n\hookrightarrow B_n\).
• A GEL'FAND MODEL FOR THE SYMMETRIC GROUP
• Some numerical results on the characters of exceptional Weyl groups
• The representations and generic degrees of the Hecke algeba of type H4.
• Models and Involution Models for Wreath Products and Certain Weyl Groups
• A Geometric Approach to the Representations of the Full Linear Group Over a Galois Field

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