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On the representation categories of matrix quantum groups of type $A$

Phung Ho Hai
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Abstract

A quantum groups of type $A$ is defined in terms of a Hecke symmetry. We show in this paper that the representation category of such a quantum group is uniquely determined as an abelian braided monoidal category by the bi-rank of the Hecke symmetry.

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Phung Ho Hai. 2005-02-18. On the representation categories of matrix quantum groups of type $A$. https://arxiv.org/abs/math/0502399

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