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

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

2005-02-18

arxiv.org/abs/math/0502399v1

Mathematics

Quantum Algebra

9 pages

Scientific paper

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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