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arXiv · 1212.5736

Fusion rings for quantum groups

Henning Haahr Andersen·Catharina Stroppel
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Abstract

We study the fusion rings of tilting modules for a quantum group at a root of unity modulo the tensor ideal of negligible tilting modules. We identify them in type A with the combinatorial rings from [KS] and give a similar description of the sp(2n)-fusion ring in terms of noncommutative symmetric functions. Moreover we give a presentation of all fusion rings in classical types as quotients of polynomial rings extending known results in special cases. Finally we also compute the fusion rings for type G2.

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BibTeXRIS

Henning Haahr Andersen, Catharina Stroppel. 2014-04-02. Fusion rings for quantum groups. https://arxiv.org/abs/1212.5736

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