q,t-Fuss-Catalan numbers for complex reflection groups release_b4fmj2i5abh5pdqree5rbfedmi

by Christian Stump

Released as a article .

2008  

Abstract

In 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.
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Type  article
Stage   submitted
Date   2008-06-18
Version   v1
Language   en ?
arXiv  0806.2936v1
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