Fusion rules for quantum reflection groups

Details Fusion rules for quantum reflection groups Fusion rules for quantum reflection groups

2008-05-30

arxiv.org/abs/0805.4801v2

J. Noncommut. Geom. 3 (2009), 327-359

Mathematics

Operator Algebras

33 pages

Scientific paper

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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