Positive energy representations of gauge groups
Event details
| Date | 26.03.2015 |
| Hour | 14:00 › 16:00 |
| Speaker | Karl-Hermann Neeb |
| Location | |
| Category | Conferences - Seminars |
We report on a joint project with Bas Janssens on unitary representations of gauge groups Gau_c(P) (compactly supported gauge transformations) of a principal bundle P with compact structure group K over a smooth manifold. We consider representations which are covariant with respect to a smooth R-action by automorphisms on the bundle P for which the corresponding flow on M has no fixed points. If M is compact and the flow on M is periodic, then all irreducible representations of this type are finite tensor products of representations of twisted loop groups obtained by restrictions to finitely many orbits in M. If M is not compact, then locally finite sets of orbits in M lead to infinite tensor products which can be controlled by suitable C^*-algebras.
Links
Practical information
- General public
- Free
Organizer
- CIB
Contact
- Valérie Krier