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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Université d'Ottawa / University of Ottawa
2014
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Online Access: | http://hdl.handle.net/10393/31516 http://dx.doi.org/10.20381/ruor-6345 |
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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 |
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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 |
_version_ |
1718598110223007744 |