Introduction to compact and discrete quantum groups

Abstract

These are notes from introductory lectures at the graduate school "Topological Quantum Groups" in Będlewo (June 28--July 11, 2015). The notes present the passage from Hopf algebras to compact quantum groups and sketch the notion of discrete quantum groups viewed as duals of compact quantum groups.

arXiv comment18 pages, the article will appear in the Banach Center Publications volume `Topological Quantum Groups'