Weil representations of finite general linear groups and finite special linear groups

Pham Huu Tiep

doi:10.2140/pjm.2015.279.481

Weil representations of finite general linear groups and finite special linear groups

Pham Huu Tiep

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Let q be a prime power and let Gn be the general linear group GL_n (q) or the special linear group SL_n (q), with n ≥ 4. We prove two characterization theorems for the Weil representations of Gn in any characteristic coprime to q, one in terms of the restriction to a standard subgroup G_n-1, and another in terms of the restriction to a maximal parabolic subgroup of G_n.

Original language	English (US)
Pages (from-to)	481-498
Number of pages	18
Journal	Pacific Journal of Mathematics
Volume	279
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2015.279.481
State	Published - 2015

Keywords

Finite general linear groups
Finite special linear groups
Weil representations

ASJC Scopus subject areas

General Mathematics

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10.2140/pjm.2015.279.481

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abstract = "Let q be a prime power and let Gn be the general linear group GLn (q) or the special linear group SLn (q), with n ≥ 4. We prove two characterization theorems for the Weil representations of Gn in any characteristic coprime to q, one in terms of the restriction to a standard subgroup Gn-1, and another in terms of the restriction to a maximal parabolic subgroup of Gn.",

keywords = "Finite general linear groups, Finite special linear groups, Weil representations",

author = "Tiep, {Pham Huu}",

note = "Funding Information: The author gratefully acknowledges the support of the NSF (grant DMS-1201374) and the Simons Foundation Fellowship 305247.",

year = "2015",

doi = "10.2140/pjm.2015.279.481",

language = "English (US)",

volume = "279",

pages = "481--498",

journal = "Pacific Journal of Mathematics",

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T1 - Weil representations of finite general linear groups and finite special linear groups

AU - Tiep, Pham Huu

N1 - Funding Information: The author gratefully acknowledges the support of the NSF (grant DMS-1201374) and the Simons Foundation Fellowship 305247.

PY - 2015

Y1 - 2015

N2 - Let q be a prime power and let Gn be the general linear group GLn (q) or the special linear group SLn (q), with n ≥ 4. We prove two characterization theorems for the Weil representations of Gn in any characteristic coprime to q, one in terms of the restriction to a standard subgroup Gn-1, and another in terms of the restriction to a maximal parabolic subgroup of Gn.

AB - Let q be a prime power and let Gn be the general linear group GLn (q) or the special linear group SLn (q), with n ≥ 4. We prove two characterization theorems for the Weil representations of Gn in any characteristic coprime to q, one in terms of the restriction to a standard subgroup Gn-1, and another in terms of the restriction to a maximal parabolic subgroup of Gn.

KW - Finite general linear groups

KW - Finite special linear groups

KW - Weil representations

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DO - 10.2140/pjm.2015.279.481

M3 - Article

AN - SCOPUS:84957801062

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SP - 481

EP - 498

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 1

ER -

Weil representations of finite general linear groups and finite special linear groups

Abstract

Keywords

ASJC Scopus subject areas

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