Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups. With an appendix by Pierre Baumann and Christophe Hohlweg.

DOI10.5802/aif.2176zbMath1098.20011OpenAlexW2949127789MaRDI QIDQ818304

Cédric Bonnafé, Christophe Hohlweg

Publication date: 24 March 2006

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2006__56_1_131_0

zbMATH Keywords

Weyl groupsgroup algebrasSpecht modulesdescent algebrasirreducible characters of symmetric groupshyperoctahedral groupscoplactic algebrasSolomon algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

Generalized Burnside algebra of type B_{n}, A type \(B\) analog of the Whitehouse representation, Cyclotomic Solomon algebras., Representation theory of Mantaci-Reutenauer algebras., Bell numbers, partition moves and the eigenvalues of the random-to-top shuffle in Dynkin types A, B and D, On Domino Insertion and Kazhdan–Lusztig Cells in Type B n, Hyperoctahedral Chen calculus for effective hamiltonians, A Solomon descent theory for the wreath products $G\wr\mathfrak S_n$, A decomposition of the group algebra of a hyperoctahedral group, Unnamed Item, Around Solomon's descent algebras.

Uses Software

• CHEVIE

Cites Work

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