Representation theory of the 0-Ariki-Koike-Shoji algebras

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dc.creatorHivert, F.
dc.creatorNovelli, J. -C.
dc.creatorThibon, J. -Y.
dc.date2004-07-13
dc.date.accessioned2026-07-07T05:10:15Z
dc.date.available2026-07-07T05:10:15Z
dc.descriptionWe investigate the representation theory of certain specializations of the Ariki-Koike algebras, obtained by setting $q=0$ in a suitably normalized version of Shoji's presentation. We classify the simple and projective modules, and describe restrictions, induction products, Cartan invariants and decomposition matrices. This allows us to identify the Grothendieck rings of the towers of algebras in terms of certain graded Hopf algebras known as the Mantaci-Reutenauer descent algebras, and Poirier Quasi-symmetric functions.
dc.description12 pages; LaTEX
dc.identifierhttps://arxiv.org/abs/math/0407218
dc.identifierhttp://arxiv.org/abs/math/0407218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71870
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.titleRepresentation theory of the 0-Ariki-Koike-Shoji algebras
dc.typetext

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