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Article Dans Une Revue Journal of Noncommutative Geometry Année : 2009

Fusion rules for quantum reflection groups

Résumé

We find the fusion rules for the quantum analogues of the complex reflection groups $H_n^s=\mathbb Z_s\wr S_n$. The irreducible representations can be indexed by the elements of the free monoid $\mathbb N^{*s}$, and their tensor products are given by formulae which remind the Clebsch-Gordan rules (which appear at $s=1$).

Dates et versions

hal-00425393 , version 1 (21-10-2009)

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Teodor Banica, Roland Vergnioux. Fusion rules for quantum reflection groups. Journal of Noncommutative Geometry, 2009, 3, pp.327-359. ⟨hal-00425393⟩
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