Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups

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dc.creatorBonnafe, Cedric
dc.creatorHohlweg, Christophe
dc.date2004-09-13
dc.date2004-09-14
dc.date.accessioned2026-07-07T09:48:28Z
dc.date.available2026-07-07T09:48:28Z
dc.descriptionWe 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.
dc.description32 pages + un appendice par P. Baumann et C. Hohlweg ("Comparison with Specht construction")
dc.identifierhttps://arxiv.org/abs/math/0409199
dc.identifierhttp://arxiv.org/abs/math/0409199
dc.identifierAnnales de l'Institut Fourier 56 (2008) 131-181
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164223
dc.subjectCombinatorics
dc.subject05E15
dc.titleGeneralized descent algebra and construction of irreducible characters of hyperoctahedral groups
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