Anandavardhanan, U.K. ; Rajan, C. (2005) Distinguished representations, base change, and reducibility for unitary groups International Mathematics Research Notices, 2005 (14). p. 841. ISSN 1073-7928
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Official URL: http://doi.org/10.1155/IMRN.2005.841
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*.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Oxford University Press. |
| Keywords: | Unitary Group; Conjecture; Irreducible Representations; Smooth Representation; Proof Of Theorem; Representative Group; Functional Equation; Rational Function; Functor; Global Theory |
| ID Code: | 135973 |
| Deposited On: | 19 May 2025 08:00 |
| Last Modified: | 19 May 2025 08:00 |
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