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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.
Original language | English |
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Pages (from-to) | 1491-1502 |
Number of pages | 12 |
Journal | American Journal of Mathematics |
Volume | 134 |
Issue number | 6 |
DOIs | |
Publication status | Published - Dec 2012 |
Keywords / Materials (for Non-textual outputs)
- math.CO
- math.RT
- 05E10 (Primary) 16G99 (Secondary)
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Dive into the research topics of 'Catalan numbers for complex reflection groups'. Together they form a unique fingerprint.Projects
- 1 Finished
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RIGID STRUCTURE IN NONCOMMUTATIVE, GEOMETRIC & COMBINATORIAL PROBLEMS
1/09/08 → 30/06/14
Project: Research