JournalsjncgVol. 3 , No. 3DOI 10.4171/jncg/39

Fusion rules for quantum reflection groups

  • Teodor Banica

    Université de Toulouse III
  • Roland Vergnioux

    Université de Caen
Fusion rules for quantum reflection groups cover

Abstract

sup { vertical-align: 0.8ex; font-size:90%; } sub { vertical-align: -0.8ex; font-size:90%; } .ionss { line-height: 1.8; } .ionss sub {position: relative; top: 4; left: 1; } .ionss sup {position: absolute; top: 70; left:985; } We find the fusion rules for the quantum analogues of the complex reflection groups Hsn = ℤs ≀ Sn. The irreducible representations can be indexed by the elements of the free monoid ℕ∗s, and their tensor products are given by formulae which remind the Clebsch–Gordan rules (which appear at s = 1).