Principal series for general linear groups over finite commutative rings

Tyrone Crisp; Ehud Meir; Uri Onn

doi:10.1080/00927872.2021.1931264

Principal series for general linear groups over finite commutative rings

Tyrone Crisp, Ehud Meir, Uri Onn

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

2 Scopus citations

Abstract

We construct, for any finite commutative ring R, a family of representations of the general linear group (Formula presented.) whose intertwining properties mirror those of the principal series for (Formula presented.) over a finite field.

Original language	English
Pages (from-to)	4857-4868
Number of pages	12
Journal	Communications in Algebra
Volume	49
Issue number	11
DOIs	https://doi.org/10.1080/00927872.2021.1931264
State	Published - 1 Jan 2021
Externally published	Yes

Keywords

Finite commutative rings
general linear groups
principal series

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2021.1931264

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title = "Principal series for general linear groups over finite commutative rings",

abstract = "We construct, for any finite commutative ring R, a family of representations of the general linear group (Formula presented.) whose intertwining properties mirror those of the principal series for (Formula presented.) over a finite field.",

keywords = "Finite commutative rings, general linear groups, principal series",

author = "Tyrone Crisp and Ehud Meir and Uri Onn",

note = "Publisher Copyright: {\textcopyright} 2021 The Author(s). Published with license by Taylor and Francis Group, LLC.",

year = "2021",

month = jan,

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doi = "10.1080/00927872.2021.1931264",

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T1 - Principal series for general linear groups over finite commutative rings

AU - Crisp, Tyrone

AU - Meir, Ehud

AU - Onn, Uri

PY - 2021/1/1

Y1 - 2021/1/1

N2 - We construct, for any finite commutative ring R, a family of representations of the general linear group (Formula presented.) whose intertwining properties mirror those of the principal series for (Formula presented.) over a finite field.

AB - We construct, for any finite commutative ring R, a family of representations of the general linear group (Formula presented.) whose intertwining properties mirror those of the principal series for (Formula presented.) over a finite field.

KW - Finite commutative rings

KW - general linear groups

KW - principal series

UR - http://www.scopus.com/inward/record.url?scp=85107520803&partnerID=8YFLogxK

U2 - 10.1080/00927872.2021.1931264

DO - 10.1080/00927872.2021.1931264

M3 - Article

AN - SCOPUS:85107520803

SN - 0092-7872

VL - 49

SP - 4857

EP - 4868

JO - Communications in Algebra

JF - Communications in Algebra

IS - 11

ER -

Principal series for general linear groups over finite commutative rings

Abstract

Keywords

ASJC Scopus subject areas

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