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arXiv · 0805.4801

Fusion rules for quantum reflection groups

Teodor Banica·Roland Vergnioux
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Abstract

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 $s=1$).

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Teodor Banica, Roland Vergnioux. 2008-09-16. Fusion rules for quantum reflection groups. https://arxiv.org/abs/0805.4801

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