Abstract

We construct $(q,t)$-Catalan polynomials and $q$-Fuss-Catalan polynomials for any irreducible complex reflection group $W$. The two main ingredients in this construction are Rouquier's formulation of shift functors for the rational Cherednik algebras of $W$, and Opdam's analysis of permutations of the irreducible representations of $W$ arising from the Knizhnik-Zamolodchikov connection.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1491-1502
Launched on MUSE
2012-11-28
Open Access
No
Archive Status
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