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

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Bibliographic Details
Author / Creator:	Johnstone, Daniel Lentine, author.
Imprint:	2017. Ann Arbor : ProQuest Dissertations & Theses, 2017
Description:	1 electronic resource (82 pages)
Language:	English
Format:	E-Resource Dissertations
Local Note:	School code: 0330
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11715136

Hidden Bibliographic Details
Other authors / contributors:	University of Chicago. degree granting institution.
ISBN:	9780355079401
Notes:	Advisors: Bao Chau Ngo Committee members: Bao Chau Ngo; Yiannis Sakellaridis. Dissertation Abstracts International, Volume: 78-12(E), Section: B. English
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.

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