Blohmann, Christian (2008) Stacky Lie Groups. INTERNATIONAL MATHEMATICS RESEARCH NOTICES: rnn082. ISSN 1073-7928,
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Presentations of smooth symmetry groups of differentiable stacks are studied within the framework of the weak 2-category of Lie groupoids, smooth principal bibundles, and smooth biequivariant maps. It is shown that principality of bibundles is a categorical property which is sufficient and necessary for the existence of products. Stacky Lie groups are defined as group objects in this weak 2-category. Introducing a graphic notation, it is shown that for every stacky Lie monoid there is a natural morphism, called the preinverse, which is a Morita equivalence if and only if the monoid is a stacky Lie group. As an example, we describe explicitly the stacky Lie group structure of the irrational Kronecker foliation of the torus.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | TWISTED K-THEORY; DIFFERENTIABLE STACKS; ALGEBROIDS; ORBIFOLDS; GERBES; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 13 Nov 2020 12:56 |
| Last Modified: | 13 Nov 2020 12:56 |
| URI: | https://pred.uni-regensburg.de/id/eprint/31665 |
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