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).
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Teodor Banica, Roland Vergnioux, Fusion rules for quantum reflection groups. J. Noncommut. Geom. 3 (2009), no. 3, pp. 327–359DOI 10.4171/JNCG/39