Journal of Noncommutative Geometry
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Published online: 2009-09-30
Fusion rules for quantum reflection groupsTeodor Banica and Roland Vergnioux (1) Université de Toulouse III
(2) Université de Caen
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).
Keywords: Reflection group, quantum group, fusion rules
Banica Teodor, Vergnioux Roland: Fusion rules for quantum reflection groups. J. Noncommut. Geom. 3 (2009), 327-359. doi: 10.4171/JNCG/39