2009/12/08 by Iain J. Gordon, Iain Gordon, Stephen Griffeth +2
Mathematics · #05E10 (Primary) 16G99 (Secondary) #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT #msc:05E10 #msc:16G99
paper · pdf · doi:10.48550/arxiv.0912.1578
9 pages
arxiv created 2009/12/08 · openalex publication_date 2009/12/08 · arxiv updated 2010/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.