Distinguished representations, base change, and reducibility for unitary groups

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We show the equality of the local Asai L-functions defined via the Rankin-Selberg method and the Langlands-Shahidi method for a square integrable representation of GL(n,E). As a consequence we characterise reducibility of certain induced representations of U(n,n), and the image of the base change map from U(n) to GL(n,E) in terms of GL(n,F)-distinguishedness.
13 pages

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Number Theory, Representation Theory, 11F70; 22E50

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http://salesiana.dossiersoluciones.com/handle/123456789/72300

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408380
 http://arxiv.org/abs/math/0408380

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arXiv