Catalan numbers for complex reflection groups
Combinatorics
2009-12-09 v1 Representation Theory
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.
Cite
@article{arxiv.0912.1578,
title = {Catalan numbers for complex reflection groups},
author = {Iain Gordon and Stephen Griffeth},
journal= {arXiv preprint arXiv:0912.1578},
year = {2009}
}
Comments
9 pages