Distinguished representations, base change, and reducibility for unitary groups

Anandavardhanan, U. K. ; Rajan, C. S. (2005) Distinguished representations, base change, and reducibility for unitary groups International Mathematics Research Notices, 2005 (14). pp. 841-854. ISSN 1073-7928

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Official URL: http://imrn.oxfordjournals.org/content/2005/14/841...

Related URL: http://dx.doi.org/10.1155/IMRN.2005.841

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 GLn(E). As a consequence, we characterize reducibility of certain induced representations of U(n,n), and the image of the base change map from U(n) to GLn(E) in terms of GLn(F)-distinguishedness. We also determine precisely when the Steinberg representation of GLn(E) is distinguished with respect to a character of F.

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Deposited On:29 Apr 2011 11:42
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