Models and Involution Models for Wreath Products and Certain Weyl Groups

DOI10.1112/jlms/s2-44.1.55zbMath0757.20003OpenAlexW1984440914MaRDI QIDQ4009500

Robert W. Baddeley

Publication date: 27 September 1992

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-44.1.55

zbMATH Keywords

Weyl groupslinear representationswreath productsirreducible complex representationsinvolution models

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Extensions, wreath products, and other compositions of groups (20E22) Representations of finite groups of Lie type (20C33)

Related Items (21)

Generalized Frobenius-Schur numbers. ⋮ Gelfand \(W\)-graphs for classical Weyl groups ⋮ A Gelfand model for wreath products. ⋮ Generalized involution models for wreath products. ⋮ Perfect models and Gelfand W-graphs ⋮ Perfect models for finite Coxeter groups ⋮ Involution models of finite Coxeter groups ⋮ A Gelfand model for Weyl groups of type \(D_{2n}\). ⋮ Automorphisms and generalized involution models of finite complex reflection groups. ⋮ Combinatorial Gelfand models. ⋮ On Gelfand models for finite Coxeter groups ⋮ On the existence of models in some sporadic simple groups ⋮ Gelfand models for classical Weyl groups. ⋮ An explicit model for the complex representations of the finite general linear groups ⋮ Gelfand models and Robinson-Schensted correspondence ⋮ Isomorphisms, automorphisms, and generalized involution models of projective reflection groups. ⋮ Involutory reflection groups and their models ⋮ Vertices of modules and decomposition numbers of \(C_2 \wr S_n\) ⋮ A Gel'fand Model for the Symmetric Generalized Group ⋮ Mackey's theory of \(\tau\)-conjugate representations for finite groups. ⋮ Fourier transforms with respect to monomial representations

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