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math.CO2009★ 4 cited
Catalan numbers for complex reflection groups
Iain Gordon, Stephen Griffeth
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 f…
math.CO2008★ 2 cited
Jack polynomials and the coinvariant ring of
Stephen Griffeth
We study the coinvariant ring of the complex reflection group as a module for the corresponding rational Cherednik algebra $\HH$ and its generalized graded affine Hecke…