Thomas Timmermann, Münster (Germany)

Abstract: Dynamical quantum groups were introduced by Etingov and Varchenko as
an algebraic framework for the study of the quantum dynamical
Yang-Baxter equation. They fit into the theory of Hopf algebroids
developed by Boehm and others, and form a particular class of quantum
groupoids. The simplest example of a dynamical quantum group is a
variant of the compact quantum group SU_q(2) of Woronowicz. On the
algebraic level, its representation theory and relations to special
functions were studied by Koelink and Rosengren. In this talk, I start
with some introduction to quantum groupoids and dynamical quantum
groups, then focus on the variant of SU_q(2), and associate to it a
measured quantum groupoid in the sense of Enock and Lesieur.