# Journal article

## Endoscopy and the automorphic tensor product on the unitary group

Abstract:

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...

### Authors

Publication date:
2010-07-02
Keywords:
Pubs id:
pubs:327904
UUID:
uuid:3a3cbe34-2735-4445-b4ef-bfeb9b074584
Local pid:
pubs:327904
Source identifiers:
327904
Deposit date:
2012-12-19