On the support of matrix coefficients of supercuspidal representations of the general linear group over a local non-archimedean field

Erez Lapid

doi:10.1090/pspum/101/01796

On the support of matrix coefficients of supercuspidal representations of the general linear group over a local non-archimedean field

Erez Lapid

Department of Mathematics

Weizmann Institute of Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We derive an upper bound on the support of matrix coefficients of suprecuspidal representations of the general linear group over a non-archimedean local field. The results are in par with those which can be obtained from the Bushnell-Kutzko classification of supercuspidal representations, but they are proved independently.

Original language	English
Title of host publication	REPRESENTATIONS OF REDUCTIVE GROUPS
Editors	A Aizenbud, D Gourevitch, D Kazhdan, EM Lapid
Publisher	American Mathematical Society
Pages	211-218
Number of pages	8
ISBN (Print)	978-1-4704-4284-2
DOIs	https://doi.org/10.1090/pspum/101/01796
State	Published - 2019
Event	Conference on Representation Theory and Algebraic Geometry in honor of Joseph Bernstein - Rehovot, Israel Duration: 11 Jun 2017 → 16 Jun 2017

Publication series

Name	Proceedings of Symposia in Pure Mathematics
Volume	101
ISSN (Print)	2324-707X

Conference

Conference	Conference on Representation Theory and Algebraic Geometry in honor of Joseph Bernstein
Country/Territory	Israel
City	Rehovot
Period	11/06/17 → 16/06/17

Access to Document

10.1090/pspum/101/01796

Cite this

Lapid, E. (2019). On the support of matrix coefficients of supercuspidal representations of the general linear group over a local non-archimedean field. In A. Aizenbud, D. Gourevitch, D. Kazhdan, & EM. Lapid (Eds.), REPRESENTATIONS OF REDUCTIVE GROUPS (pp. 211-218). (Proceedings of Symposia in Pure Mathematics; Vol. 101). American Mathematical Society. https://doi.org/10.1090/pspum/101/01796

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title = "On the support of matrix coefficients of supercuspidal representations of the general linear group over a local non-archimedean field",

abstract = "We derive an upper bound on the support of matrix coefficients of suprecuspidal representations of the general linear group over a non-archimedean local field. The results are in par with those which can be obtained from the Bushnell-Kutzko classification of supercuspidal representations, but they are proved independently.",

author = "Erez Lapid",

year = "2019",

doi = "10.1090/pspum/101/01796",

language = "الإنجليزيّة",

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series = "Proceedings of Symposia in Pure Mathematics",

publisher = "American Mathematical Society",

pages = "211--218",

editor = "A Aizenbud and D Gourevitch and D Kazhdan and EM Lapid",

booktitle = "REPRESENTATIONS OF REDUCTIVE GROUPS",

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note = "Conference on Representation Theory and Algebraic Geometry in honor of Joseph Bernstein ; Conference date: 11-06-2017 Through 16-06-2017",

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Lapid, E 2019, On the support of matrix coefficients of supercuspidal representations of the general linear group over a local non-archimedean field. in A Aizenbud, D Gourevitch, D Kazhdan & EM Lapid (eds), REPRESENTATIONS OF REDUCTIVE GROUPS. Proceedings of Symposia in Pure Mathematics, vol. 101, American Mathematical Society, pp. 211-218, Conference on Representation Theory and Algebraic Geometry in honor of Joseph Bernstein, Rehovot, Israel, 11/06/17. https://doi.org/10.1090/pspum/101/01796

On the support of matrix coefficients of supercuspidal representations of the general linear group over a local non-archimedean field. / Lapid, Erez.
REPRESENTATIONS OF REDUCTIVE GROUPS. ed. / A Aizenbud; D Gourevitch; D Kazhdan; EM Lapid. American Mathematical Society, 2019. p. 211-218 (Proceedings of Symposia in Pure Mathematics; Vol. 101).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AB - We derive an upper bound on the support of matrix coefficients of suprecuspidal representations of the general linear group over a non-archimedean local field. The results are in par with those which can be obtained from the Bushnell-Kutzko classification of supercuspidal representations, but they are proved independently.

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