A Gelfand-Graev Formula and Stable Transfer Factors for SL 2(F) /

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Bibliographic Details
Author / Creator:Johnstone, Daniel Lentine, author.
Ann Arbor : ProQuest Dissertations & Theses, 2017
Description:1 electronic resource (82 pages)
Format: E-Resource Dissertations
Local Note:School code: 0330
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11715136
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Other authors / contributors:University of Chicago. degree granting institution.
Notes:Advisors: Bao Chau Ngo Committee members: Bao Chau Ngo; Yiannis Sakellaridis.
Dissertation Abstracts International, Volume: 78-12(E), Section: B.
Summary:A result of Gelfand and Graev shows that the supercuspidal representations of SL2(F) for a nonarchimedean local field F are neatly parameterized by characters of elliptic tori, and that the stable character data for all such representations may be collected into a single function by means of a Fourier Transform. For the group SL n(F) we state a conjectural formula for the character values of supercuspidal representations arising from unramified tori of n(F) and use this formula to prove analogous to those of Gelfand and Graev in this case.