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Pré-Publication, Document De Travail Année : 2004

Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups

Résumé

We construct a subalgebra of dimension $2.3^n$ 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. 2004. ⟨hal-00002827v1⟩
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