On the quantum ‘ ax + b ’ group

The more detailed description of the ‘ ax+b’ group of Baaj and Skandalis is presented. In particular we give generators and present formulae for the action of the comultiplication on them. We prove that this quantum group is defined by a twist.

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Bibliographic Details
Published in:Journal of geometry and physics 2013-11, Vol.73, p.125-149
Main Author: Stachura, Piotr
Format: Article
Language:English
Subjects:
Differential groupoids
Poisson–Lie groups
Quantization
Quantum groups
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Summary:The more detailed description of the ‘ ax+b’ group of Baaj and Skandalis is presented. In particular we give generators and present formulae for the action of the comultiplication on them. We prove that this quantum group is defined by a twist.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2013.05.006