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- W2969907867 abstract "Let $E/F$ be a quadratic extension of non-Archimedean local fields of characteristic 0. Let $D$ be the unique quaternion division algebra over $F$ and fix an embedding of $E$ to $D$. Then, $mathrm{GL}_m(D)$ can be regarded as a subgroup of $mathrm{GL}_{2m}(E)$. Using the method of Matringe, we classify irreducible generic $mathrm{GL}_m(D)$-distinguished representations of $mathrm{GL}_{2m}(E)$ in terms of Zelevinsky classification. Rewriting the classification in terms of corresponding representations of the Weil-Deligne group of $E$, we prove a sufficient condition for a generic representation in the image of the unstable base change lift from the unitary group $mathrm{U}_{2m}$ to be $mathrm{GL}_m(D)$-distinguished." @default.
- W2969907867 created "2019-08-29" @default.
- W2969907867 creator A5051894776 @default.
- W2969907867 date "2020-07-01" @default.
- W2969907867 modified "2023-10-16" @default.
- W2969907867 title "Quaternion distinguished generic representations of GL2n" @default.
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- W2969907867 doi "https://doi.org/10.1007/s11856-020-2045-5" @default.
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