Characters of Representations of Quantum Groups of Type $A_n$

Mathematics – Quantum Algebra

Scientific paper

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10 pages, amslatex

Scientific paper

We introduce the notion of characters of comodules over coribbon Hopf
algebras. The case of quantum groups of type $A_n$ is studied. We establish a
characteristic equation for the quantum matrix and a q-analogue of
Harish-Chandra- Itzykson-Zuber integral

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