On the representation categories of matrix quantum groups of type A
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math-phmath.CTmath.MP
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quantumcategorygroupsheckerepresentationsymmetrytypeabelian
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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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