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- W3204504261 abstract "Let F be a local field of characteristic zero. Let E be a quadratic field extension of F. We show that any PE-invariant linear functional on a GLn(E)-distinguished irreducible smooth admissible representation π of GL2n(F) is also GLn(E)-invariant, where PE is the standard mirabolic subgroup of GLn(E). Then we give a simple proof to show that the exterior square L-function has a pole at s=0 is a necessary condition such that a unitary and unramified principal series representation π is distinguished by GLn(E) when E/F is unramified." @default.
- W3204504261 created "2021-10-11" @default.
- W3204504261 creator A5015440400 @default.
- W3204504261 date "2021-10-01" @default.
- W3204504261 modified "2023-09-26" @default.
- W3204504261 title "The action of a mirabolic subgroup on a symmetric variety" @default.
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- W3204504261 doi "https://doi.org/10.1016/j.jalgebra.2021.10.005" @default.
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