Catalan Numbers for Complex Reflection Groups
نویسندگان
چکیده
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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تاریخ انتشار 2009