q,t-Fuss-Catalan numbers for complex reflection groups

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dc.creatorStump, Christian
dc.date2008-06-18
dc.date.accessioned2026-07-07T09:45:19Z
dc.date.available2026-07-07T09:45:19Z
dc.descriptionIn type A, the q,t-Fuss -Catalan numbers can be defined as a bigraded Hilbert series of a module associated to the symmetric group S_n. We generalize this construction to (finite) complex reflection groups and exhibit some nice conjectured algebraic and combinatorial properties of these polynomials in q and t. Finally, we present an idea how these polynomials could be related to some graded Hilbert series of modules arising in the context of rational Cherednik algebras. This is work in progress.
dc.description12 pages, 3 figures, to appear in DMTCS as part of the FPSAC 2008 conference proceedings
dc.identifierhttps://arxiv.org/abs/0806.2936
dc.identifierhttp://arxiv.org/abs/0806.2936
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163156
dc.subjectCombinatorics
dc.subject20F55; 05A15
dc.titleq,t-Fuss-Catalan numbers for complex reflection groups
dc.typetext

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