Murray, M., Roberts, D.M. and Stevenson, D. (2012) On the existence of bibundles. Proceedings of the London Mathematical Society, 105(6), pp. 1290-1314. (doi: 10.1112/plms/pds028)
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Abstract
We consider the existence of bibundles, in other words locally trivial principal G spaces with commuting left and right G actions. We show that their existence is closely related to the structure of the group Out(G) of outer automorphisms of G. We also develop a classifying theory for bibundles. The theory is developed in full generality for (H, G) bibundles for a crossed module (H, G) and we show with examples the close links with loop group bundles.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Stevenson, Dr Daniel |
| Authors: | Murray, M., Roberts, D.M., and Stevenson, D. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Proceedings of the London Mathematical Society |
| ISSN: | 0024-6115 |
| ISSN (Online): | 1460-244X |
| Published Online: | 19 June 2012 |
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