Majumder, Priyanka and D, Venku Naidu
(2016)
Representation Theory on Locally Compact Groups.
Masters thesis, Indian Institute of Technology Hyderabad.
Abstract
In this project we try to reach one of the famous problems, namely similarity problems. Itcan be stated as follows: Is every uniformly bounded continuous representation of locally compact group G is unitarizable? This problem is open for a while until, in 1955, Ehrenpreeis and Mautner gave counterexample for G = SL2(R). In the positive direction, the most general result seems to be Dixmiers theorem which says that if G is amenable then the above problem is affirmative. But the converse remains an open problem. It can be stated as, if all uniformly bounded continuous representations of a group G are uniterizable is G necessarily amenable?
[error in script]
| IITH Creators: |
| IITH Creators | ORCiD |
|---|
| D, Venku Naidu | UNSPECIFIED |
|
| Item Type: |
Thesis
(Masters)
|
| Uncontrolled Keywords: |
LCA Groups, Matrix Exponetial, TD506 |
| Subjects: |
Mathematics |
| Divisions: |
Department of Mathematics |
| Depositing User: |
Library Staff
|
| Date Deposited: |
05 May 2016 05:11 |
| Last Modified: |
22 May 2019 04:08 |
| URI: |
http://raiithold.iith.ac.in/id/eprint/2320 |
| Publisher URL: |
|
| Related URLs: |
|
Actions (login required)
 |
View Item |
Altmetric
Altmetric