Murray, M. and Stevenson, D. (2008) The basic bundle gerbe on unitary groups. Journal of Geometry and Physics, 58(11), pp. 1571-1590. (doi: 10.1016/j.geomphys.2008.07.006)
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Abstract
We consider the construction of the basic bundle gerbe on SU(n) introduced by Meinrenken and show that it extends to a range of groups with unitary actions on a Hilbert space including U(n) and Up(H), the Banach Lie group of unitaries differing from the identity by an element of a Schatten ideal. In all these cases we give an explicit connection and curving on the basic bundle gerbe and calculate the real Dixmier–Douady class. Extensive use is made of the holomorphic functional calculus for operators on a Hilbert space.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Stevenson, Dr Daniel |
| Authors: | Murray, M., and Stevenson, D. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Geometry and Physics |
| ISSN: | 0393-0440 |
| Published Online: | 19 July 2008 |
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