Stacky Lie groups
| dc.creator | Blohmann, Christian | |
| dc.date | 2007-02-14 | |
| dc.date | 2008-07-15 | |
| dc.date.accessioned | 2026-07-07T09:53:02Z | |
| dc.date.available | 2026-07-07T09:53:02Z | |
| dc.description | 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 example we describe explicitly the stacky Lie group structure of the irrational Kronecker foliation of the torus. | |
| dc.description | 40 pages; definition of group objects in higher categories added; coherence relations for groups in 2-categories given (section 4) | |
| dc.identifier | https://arxiv.org/abs/math/0702399 | |
| dc.identifier | http://arxiv.org/abs/math/0702399 | |
| dc.identifier | Int. Mat. Res. Not. (2008) Vol. 2008: article ID rnn082, 51 pages | |
| dc.identifier | doi:10.1093/imrn/rnn082 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165807 | |
| dc.subject | Differential Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Category Theory | |
| dc.subject | 20N99; 18B40, 58A03, 58H05 | |
| dc.title | Stacky Lie groups | |
| dc.type | text |