Examples of locally compact quantum groups through the bicrossed product construction

2000/09/06 by Stefaan Vaes
Mathematics · #math.OA #math.QA #msc:46L65 #msc:46L52

paper · pdf

published as In Proceedings of the XIIIth International Congress of Mathematical Physics, Imperial College, London, 2000. Editors A. Grigoryan, A. Fokas, T. Kibble and B. Zegarlinski, International Press of Boston, Somerville MA (2001), pp. 341--348. · 7 pages, invited talk at XIIIth International Conference Mathematical Physics, London, 2000

arxiv created 2000/09/06 · arxiv updated 2009/11/30

Abstract

The main aim of this paper is to introduce some examples of non-compact locally compact quantum groups to a non-specialized audience. The major importance of these examples is their simplicity. Other examples as the quantum E(2) group of Woronowicz are much more difficult to construct. We will make use of the bicrossed product construction to obtain our examples. This construction dates back to Kac, Takeuchi and Majid. It was also considered by Baaj & Skandalis.

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