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Article Dans Une Revue Annales de l'Institut Fourier Année : 2008

Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups

Résumé

We construct a subalgebra of dimension $2.3^{n-1}$ of the group algebra of a Weyl group of type $B_n$ containing its Solomon descent's algebra but also the Solomon's descent algebra of the symmetric group. This lead us to a construction of the irreducible characters of the hyperoctahedral groups by using a generalized plactic equivalence.
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Dates et versions

hal-00002827 , version 1 (13-09-2004)
hal-00002827 , version 2 (14-09-2004)

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Cédric Bonnafé, Christophe Hohlweg. Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups. Annales de l'Institut Fourier, 2008, 56, pp.131-181. ⟨hal-00002827v2⟩
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