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- Title
Distinguished Generic Representations of GL(n) over p-adic Fields.
- Authors
Matringe, Nadir
- 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 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.
- Subjects
P-adic fields; QUADRATIC fields; PARAMETER estimation; INTEGRABLE functions; INVARIANTS (Mathematics); SMOOTHNESS of functions
- Publication
IMRN: International Mathematics Research Notices, 2011, Vol 2011, Issue 1, p74
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnq058