Weil Representation and Central Extensions of Loop Symplectic Groups

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:
Kubota
Weil
loop symplectic
cocycle
Online Access:http://hdl.handle.net/10393/31516
http://dx.doi.org/10.20381/ruor-6345
id ndltd-uottawa.ca-oai-ruor.uottawa.ca-10393-31516
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spelling ndltd-uottawa.ca-oai-ruor.uottawa.ca-10393-315162018-01-05T19:02:04Z Weil Representation and Central Extensions of Loop Symplectic Groups Bergeron-Legros, Gabriel Salmasian, Hadi Kubota Weil loop symplectic cocycle 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 case and verify that it splits over a subgroup. 2014-08-29T13:04:27Z 2014-08-29T13:04:27Z 2014 2014 Thesis http://hdl.handle.net/10393/31516 http://dx.doi.org/10.20381/ruor-6345 en Université d'Ottawa / University of Ottawa
collection NDLTD
language en
sources NDLTD
topic Kubota
Weil
loop symplectic
cocycle
spellingShingle Kubota
Weil
loop symplectic
cocycle
Bergeron-Legros, Gabriel
Weil Representation and Central Extensions of Loop Symplectic Groups
description 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 case and verify that it splits over a subgroup.
author2 Salmasian, Hadi
author_facet Salmasian, Hadi
Bergeron-Legros, Gabriel
author Bergeron-Legros, Gabriel
author_sort Bergeron-Legros, Gabriel
title Weil Representation and Central Extensions of Loop Symplectic Groups
title_short Weil Representation and Central Extensions of Loop Symplectic Groups
title_full Weil Representation and Central Extensions of Loop Symplectic Groups
title_fullStr Weil Representation and Central Extensions of Loop Symplectic Groups
title_full_unstemmed Weil Representation and Central Extensions of Loop Symplectic Groups
title_sort weil representation and central extensions of loop symplectic groups
publisher Université d'Ottawa / University of Ottawa
publishDate 2014
url http://hdl.handle.net/10393/31516
http://dx.doi.org/10.20381/ruor-6345
work_keys_str_mv AT bergeronlegrosgabriel weilrepresentationandcentralextensionsofloopsymplecticgroups
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