Strictly small representations and a reduction theorem for the unitary dual
First published in Representation Theory in Vol 5, 2001. Published by the American Mathematical Society.
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Mathematical Society
2005
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| Online Access: | http://hdl.handle.net/1721.1/29468 |
| _version_ | 1824458153008300032 |
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| author | Salamanca-Riba, Susana A. Vogan, David |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Salamanca-Riba, Susana A. Vogan, David |
| author_sort | Salamanca-Riba, Susana A. |
| collection | MIT |
| description | First published in Representation Theory in Vol 5, 2001. Published by the American Mathematical Society. |
| first_indexed | 2024-09-23T12:04:38Z |
| format | Article |
| id | mit-1721.1/29468 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2025-02-19T04:21:21Z |
| publishDate | 2005 |
| publisher | American Mathematical Society |
| record_format | dspace |
| spelling | mit-1721.1/294682025-02-06T20:22:13Z Strictly small representations and a reduction theorem for the unitary dual Salamanca-Riba, Susana A. Vogan, David Massachusetts Institute of Technology. Department of Mathematics First published in Representation Theory in Vol 5, 2001. Published by the American Mathematical Society. To any irreducible unitary representation X of a real reductive Lie group we associate in a canonical way, a Levi subgroup Gsu and a representation of this subgroup. Assuming a conjecture of the authors on the infinitesimal character of X, we show that X is cohomologically induced from a unitary representation of the subgroup Gsu. This subgroup is in some cases smaller than the subgroup Gu that the authors attached to X in earlier work. In those cases this provides a further reduction to the classification problem. 2005-10-25T20:47:31Z 2005-10-25T20:47:31Z 2001 Article http://hdl.handle.net/1721.1/29468 Representation Theory 5 (2001), 93-110 en_US 273175 bytes application/pdf application/pdf American Mathematical Society |
| spellingShingle | Salamanca-Riba, Susana A. Vogan, David Strictly small representations and a reduction theorem for the unitary dual |
| title | Strictly small representations and a reduction theorem for the unitary dual |
| title_full | Strictly small representations and a reduction theorem for the unitary dual |
| title_fullStr | Strictly small representations and a reduction theorem for the unitary dual |
| title_full_unstemmed | Strictly small representations and a reduction theorem for the unitary dual |
| title_short | Strictly small representations and a reduction theorem for the unitary dual |
| title_sort | strictly small representations and a reduction theorem for the unitary dual |
| url | http://hdl.handle.net/1721.1/29468 |
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