Weil Representation and Central Extensions of Loop Symplectic Groups

In this thesis, we present the Weil representation over loop symplectic groups. Then we study the question of whether or not the Schrodinger representation and the Weil representation are continuous. Finally, we define a cocycle of the rank 2 symplectic group, adapt Kubota's theorem to this c...

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Bibliographic Details
Main Author: Bergeron-Legros, Gabriel
Other Authors: Salmasian, Hadi
Language:en
Published: Université d'Ottawa / University of Ottawa 2014
Subjects:
Online Access:http://hdl.handle.net/10393/31516
http://dx.doi.org/10.20381/ruor-6345