Explicit Generators of the Centre of the Quantum Group

Abstract

A finite generating set of the centre of any quantum group is obtained, where the generators are given by an explicit formulae. For the slightly generalised version of the quantum group which we work with, we show that this set of generators is algebraically independent, thus the centre is isomorphic to a polynomial algebra.

Keywords

Quantum groups / Central elements / Harish-Chandra isomorphism