Distinguished representations, base change, and reducibility for unitary groups

2004/08/27 by U. K. Anandavardhanan, Anandavardhanan, U. K., C. S. Rajan +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math.NT #math.RT #msc:11F70 #msc:22E50

paper · pdf · doi:10.48550/arxiv.math/0408380

13 pages

arxiv created 2004/08/27 · arxiv updated 2009/12/01

Abstract

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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