Examples of locally compact quantum groups through the bicrossed product construction

Name: Examples of locally compact quantum groups through the bicrossed product construction
Creator: Vaes, Stefaan
Keywords: Mathematics - Quantum Algebra, 0103 physical sciences, Mathematics - Operator Algebras, FOS: Mathematics, 46L65, 46L52, Quantum Algebra (math.QA), 0101 mathematics, Operator Algebras (math.OA), 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2000Embargo end date: 01 Jan 2000Publisher:arXiv

Authors: Vaes, Stefaan;

doi: 10.48550/arxiv.math/0009054

arXiv: http://arxiv.org/abs/math/0009054

Examples of locally compact quantum groups through the bicrossed product construction

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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.

7 pages, invited talk at XIIIth International Conference Mathematical Physics, London, 2000

Keywords

Mathematics - Quantum Algebra, Mathematics - Operator Algebras, FOS: Mathematics, 46L65, 46L52, Quantum Algebra (math.QA), Operator Algebras (math.OA)

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