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- W1529565679 abstract "Let $K/F$ be a quadratic extension of $p$-adic fields, and $n$ a positive integer. A smooth irreducible representation of the group $GL(n,K)$ is said to be distinguished, if it admits on its space a nonzero $GL(n,F)$-invariant linear form. In the present work, we classify genric distinguished representations of the group $GL(n,K)$ in terms of inducing quasi-square-integrable representations. This has as a consequence the truth of the expected equality between the Rankin-Selberg type Asai $L$-function of a generic representation, and the Asai $L$-function of its Langlands parameter." @default.
- W1529565679 created "2016-06-24" @default.
- W1529565679 creator A5059665622 @default.
- W1529565679 date "2009-02-18" @default.
- W1529565679 modified "2023-09-23" @default.
- W1529565679 title "Distinction and Asai $L$-functions for generic representations of general linear groups over p-adic fields" @default.
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