Seminar by Karl-Hermann Neeb - Positive energy representations of gauge groups   26 March 2015

14:00 - 16:00


Karl-Hermann Neeb, FAU Erlangen-Nürnberg

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.

Name University Dates of visit
Karl-Hermann Neeb FAU Erlangen-Nürnberg 26/03/2015 - 26/03/2015
Total Guests : 1
Name University Dates of visit
Total Guests : 0