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- W4301602858 abstract "Let K/F be a quadratic extension of non archimedean local fields. Let V be an irreducible level zero discrete series representation of the group G = GL2(R), where R is a division algebra of center K and of index r. One assumes that V is not a supercuspidal representation. Let D be a division algebra of center F and index 2r. In the following work, we try to answer this question : Is the representation V D^{*}-distinguished if and only if its image by the Jacquet-Langlands correspondence is GL2(F)-distinguished. To answer this question, we use the coefficients system on the Bruhat-Tits building of G associated to the representation V by P. Schneider and U. Stuhler and the parametrization of level zero discrete series representation given by J. Silberger and E. W. Zink." @default.
- W4301602858 created "2022-10-05" @default.
- W4301602858 creator A5017407330 @default.
- W4301602858 date "2014-05-22" @default.
- W4301602858 modified "2023-09-27" @default.
- W4301602858 title "Correspondance de Jacquet-Langlands et distinction : cas de certaines series discretes non cuspidales de niveau 0" @default.
- W4301602858 doi "https://doi.org/10.48550/arxiv.1405.5638" @default.
- W4301602858 hasPublicationYear "2014" @default.
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