The Burger-Sarnak method and operations on the unitary dual of $\mathrm {GL}(n)$
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- by Akshay Venkatesh
- Represent. Theory 9 (2005), 268-286
- DOI: https://doi.org/10.1090/S1088-4165-05-00226-8
- Published electronically: March 31, 2005
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Abstract:
We study the effect of restriction to Levi subgroups, induction from Levi subgroups, and tensor product, on unitary representations of $\mathrm {GL}(n)$ over a local field $k$. These results give partial answers to questions raised by Clozel.References
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Bibliographic Information
- Akshay Venkatesh
- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139-4307
- Address at time of publication: Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012
- MR Author ID: 693009
- Email: akshayv@math.mit.edu
- Received by editor(s): December 19, 2003
- Received by editor(s) in revised form: January 30, 2005
- Published electronically: March 31, 2005
- Additional Notes: The author was supported in part by NSF Grant DMS-0245606
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Represent. Theory 9 (2005), 268-286
- MSC (2000): Primary 22E50; Secondary 11F70
- DOI: https://doi.org/10.1090/S1088-4165-05-00226-8
- MathSciNet review: 2133760