Introduction to quantum groups

Teo Banica (1)

1 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

The unitary group $U_N$ has a free analogue $U_N^+$, and the closed subgroups $G\subset U_N^+$ can be thought of as being the ``compact quantum Lie groups''. We review here the general theory of such quantum groups. We discuss as well a number of more advanced topics, selected for their beauty, and potential importance.

Domaines: Algèbres d'opérateurs [math.OA]

Teo Banica. Introduction to quantum groups. 2022. ⟨hal-02290797v4⟩