Descent Representations and Multivariate Statistics

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dc.creatorAdin, Ron M.
dc.creatorBrenti, Francesco
dc.creatorRoichman, Yuval
dc.date2001-12-07
dc.date2003-06-12
dc.date.accessioned2026-07-07T04:45:05Z
dc.date.available2026-07-07T04:45:05Z
dc.descriptionCombinatorial identities on Weyl groups of types $A$ and $B$ are derived from special bases of the corresponding coinvariant algebras. Using the Garsia-Stanton descent basis of the coinvariant algebra of type $A$ we give a new construction of the Solomon descent representations. An extension of the descent basis to type $B$, using new multivariate statistics on the group, yields a refinement of the descent representations. These constructions are then applied to refine well-known decomposition rules of the coinvariant algebra and to generalize various identities.
dc.description46 pages; to appear in Trans. Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0112073
dc.identifierhttp://arxiv.org/abs/math/0112073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62842
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.subject05E10, 13A50; 05A19, 13F20, 20C30
dc.titleDescent Representations and Multivariate Statistics
dc.typetext

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