Journal article
Endoscopy and the automorphic tensor product on the unitary group
- Abstract:
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We study some tempered endoscopic cases of Langlands functoriality on the $n$-variable unitary groups via the simple stable trace formula. This extends previous work of Rogawski and Clozel-Harris-Labesse. Ramakrishnan and Kim-Shahidi have proved the existence of the automorphic tensor product for $GL_2 \times GL_2$ and $GL_2 \times GL_3$. We apply our endoscopic results to, in a sense, "lift" these theorems and deduce the existence of the automorphic tensor product for the quasi-split unitary...
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Bibliographic Details
- Publication date:
- 2010-07-02
Item Description
- Keywords:
- Pubs id:
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pubs:327904
- UUID:
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uuid:3a3cbe34-2735-4445-b4ef-bfeb9b074584
- Local pid:
- pubs:327904
- Source identifiers:
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327904
- Deposit date:
- 2012-12-19
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- Copyright date:
- 2010
- Notes:
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This paper has been withdrawn as its content has been
replaced/improved by the Authors articles "Tempered automorphic
representations of the unitary group" and "p-adic Langlands Functoriality for
the definite unitary group"
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