 Speaker:  Dr. Christian Fleischhack

Title: 
Stonevon Neumann Theorem in Quantum Geometry 
Abstract: 
In ordinary quantum mechanics the Weyl algebra generated by the exponentiated position and momentum operators, has a unique regular and irreducible representation  the Schroedinger representation. In quantum geometry, a similar argument singles out the AshtekarLewandowski representation. There the Weyl algebra is generated by the parallel transports and the exponentiated fluxes. We will discuss under which assumptions there is only one
regular representation having a diffeomorphism invariant and regular vector. If time permits, we compare our results with a similar uniqueness result derived by Lewandowski, Okolow, Sahlmann and Thiemann for the holonomyflux *algebra which is built without exponentiating the fluxes.

Talk: 
Transparencies, Recorded Talk

 