Catalan numbers for complex reflection groups

Iain Gordon, Stephen Griffeth

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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 languageEnglish
Pages (from-to)1491-1502
Number of pages12
JournalAmerican Journal of Mathematics
Volume134
Issue number6
DOIs
Publication statusPublished - Dec 2012

Keywords / Materials (for Non-textual outputs)

  • math.CO
  • math.RT
  • 05E10 (Primary) 16G99 (Secondary)

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