Distinction and Asai L-functions for generic representations of general linear groups over p-adic fields
نویسنده
چکیده
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 distinguished generic 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.
منابع مشابه
Conjectures about distinction and Asai L-functions of generic representations of general linear groups over local fields
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