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A Gelfand-Graev Formula and Stable T...

ProQuest Information and Learning Co.

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

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	A Gelfand-Graev Formula and Stable Transfer Factors for SL 2(F)./
Author:	Johnstone, Daniel Lentine.
Description:	1 online resource (82 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-12(E), Section: B.
Contained By:	Dissertation Abstracts International78-12B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9780355079401

A Gelfand-Graev Formula and Stable Transfer Factors for SL 2(F).
Johnstone, Daniel Lentine.

A Gelfand-Graev Formula and Stable Transfer Factors for SL 2(F). - 1 online resource (82 pages)

Source: Dissertation Abstracts International, Volume: 78-12(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

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.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355079401Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

A Gelfand-Graev Formula and Stable Transfer Factors for SL 2(F).
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040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Johnstone, Daniel Lentine. $3 1180753
245 1 2 $a A Gelfand-Graev Formula and Stable Transfer Factors for SL 2(F).
264 0 $c 2017
300 $a 1 online resource (82 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-12(E), Section: B.
500 $a Adviser: Bao Chau Ngo.
502 $a Thesis (Ph.D.) $c The University of Chicago $d 2017.
504 $a Includes bibliographical references
520 $a 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.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a The University of Chicago. $b Mathematics. $3 1180611
773 0 $t Dissertation Abstracts International $g 78-12B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10282840 $z click for full text (PQDT)

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