Citation
Shang, Zhengyuan (John) (2021) Representation Theory of Real Reductive Groups. Senior thesis (Major), California Institute of Technology. doi:10.7907/awt4-pz48. https://resolver.caltech.edu/CaltechTHESIS:06012021-050728468
Abstract
The representation theory of Lie groups has connections to various fields in mathematics and physics. In this thesis, we are interested in the classification of irreducible admissible complex representations of real reductive groups. We introduce two approaches through the local Langlands correspondence and the Beilinson-Bernstein localization respectively. Then we investigate the connection between these two classifications for the group GL(2, R).
| Item Type: | Thesis (Senior thesis (Major)) | ||||
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| Subject Keywords: | Representation Theory | ||||
| Degree Grantor: | California Institute of Technology | ||||
| Division: | Physics, Mathematics and Astronomy | ||||
| Major Option: | Mathematics | ||||
| Awards: | Fredrick J. Zeigler Memorial Award, 2020. | ||||
| Thesis Availability: | Public (worldwide access) | ||||
| Research Advisor(s): |
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| Thesis Committee: |
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| Defense Date: | 14 May 2021 | ||||
| Record Number: | CaltechTHESIS:06012021-050728468 | ||||
| Persistent URL: | https://resolver.caltech.edu/CaltechTHESIS:06012021-050728468 | ||||
| DOI: | 10.7907/awt4-pz48 | ||||
| ORCID: |
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| Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||
| ID Code: | 14216 | ||||
| Collection: | CaltechTHESIS | ||||
| Deposited By: | Zhengyuan Shang | ||||
| Deposited On: | 01 Jun 2021 22:04 | ||||
| Last Modified: | 03 Nov 2021 20:26 |
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