Title: Distinguished Generic Representations of GL(n) over p-adic Fields
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 ...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.Read More
Publication Year: 2010
Publication Date: 2010-03-24
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 50
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