Distinguished representations, base change, and reducibility for unitary groups

Details Distinguished representations, base change, and reducibility for unitary groups Distinguished representations, base change, and reducibility for unitary groups

2004-08-27

arxiv.org/abs/math/0408380v1

Mathematics

Number Theory

13 pages

Scientific paper

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.

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