The structure of integral parabolic subgroups of orthogonal groups

Shaul Zemel

doi:10.1016/j.jalgebra.2020.03.030

The structure of integral parabolic subgroups of orthogonal groups

Shaul Zemel

Einstein Institute of Mathematics

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

3 Scopus citations

Abstract

We determine the detailed structure of parabolic subgroups of orthogonal groups over Z, and deduce the precise form of canonical boundary components in toroidal compactifications of orthogonal Shimura varieties.

Original language	English
Pages (from-to)	95-128
Number of pages	34
Journal	Journal of Algebra
Volume	559
DOIs	https://doi.org/10.1016/j.jalgebra.2020.03.030
State	Published - 1 Oct 2020

Bibliographical note

Publisher Copyright:
© 2020 Elsevier Inc.

Keywords

Arithmetic groups
Parabolic subgroups
Toroidal compactifications

Access to Document

10.1016/j.jalgebra.2020.03.030

Cite this

@article{4fede43c344d46c29a9c48a86e8b5944,

title = "The structure of integral parabolic subgroups of orthogonal groups",

abstract = "We determine the detailed structure of parabolic subgroups of orthogonal groups over Z, and deduce the precise form of canonical boundary components in toroidal compactifications of orthogonal Shimura varieties.",

keywords = "Arithmetic groups, Parabolic subgroups, Toroidal compactifications",

author = "Shaul Zemel",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2020",

month = oct,

day = "1",

doi = "10.1016/j.jalgebra.2020.03.030",

language = "אנגלית",

volume = "559",

pages = "95--128",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - The structure of integral parabolic subgroups of orthogonal groups

AU - Zemel, Shaul

PY - 2020/10/1

Y1 - 2020/10/1

N2 - We determine the detailed structure of parabolic subgroups of orthogonal groups over Z, and deduce the precise form of canonical boundary components in toroidal compactifications of orthogonal Shimura varieties.

AB - We determine the detailed structure of parabolic subgroups of orthogonal groups over Z, and deduce the precise form of canonical boundary components in toroidal compactifications of orthogonal Shimura varieties.

KW - Arithmetic groups

KW - Parabolic subgroups

KW - Toroidal compactifications

UR - http://www.scopus.com/inward/record.url?scp=85084214159&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2020.03.030

DO - 10.1016/j.jalgebra.2020.03.030

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85084214159

SN - 0021-8693

VL - 559

SP - 95

EP - 128

JO - Journal of Algebra

JF - Journal of Algebra

ER -

The structure of integral parabolic subgroups of orthogonal groups

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this