Distinguished representations, base change, and reducibility for unitary groups

U. K. Anandavardhanan; C. S. Rajan

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Distinguished representations, base change, and reducibility for unitary groups

U. K. Anandavardhanan·C. S. Rajan

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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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U. K. Anandavardhanan, C. S. Rajan. 2004-08-27. Distinguished representations, base change, and reducibility for unitary groups. https://arxiv.org/abs/math/0408380

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