A Gel'fand model for a Weyl group of type \(D_n\) and the branching rules \(D_n\hookrightarrow B_n\).

DOI10.1016/j.jalgebra.2005.09.001zbMath1081.20052OpenAlexW1991819048MaRDI QIDQ2581389

J. J. Bigeón, José O. Araujo

Publication date: 10 January 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.09.001

zbMATH Keywords

Weyl groupssimple modulesbranching rulesGelfand modelsdirect sums of irreducible representations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items

A Gelfand model for wreath products. ⋮ Generalized involution models for wreath products. ⋮ A Gelfand model for Weyl groups of type \(D_{2n}\). ⋮ Combinatorial Gelfand models. ⋮ On Gelfand models for finite Coxeter groups ⋮ Gelfand models for classical Weyl groups. ⋮ Involutory reflection groups and their models ⋮ A Gel'fand Model for the Symmetric Generalized Group

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• A GEL'FAND MODEL FOR THE SYMMETRIC GROUP
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• Some Irreducible Representations of Weyl Groups