Cofinite proper classifying spaces for lattices in semisimple lie groups of R-rank 1

Hyosang Kang

doi:10.4134/CKMS.c160222

Cofinite proper classifying spaces for lattices in semisimple lie groups of R-rank 1

Hyosang Kang

School of Undergraduate Studies

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

Abstract

The Borel-Serre partial compactification gives cofinite models for the proper classifying space for arithmetic lattices. Non-arithmetic lattices arise only in semisimple Lie groups of R-rank one. The author generalizes the Borel{Serre partial compactification to construct cofinite models for the proper classifying space for lattices in semisimple Lie groups of R-rank one by using the reduction theory of Garland and Raghunathan.

Original language	English
Pages (from-to)	745-763
Number of pages	19
Journal	Communications of the Korean Mathematical Society
Volume	32
Issue number	3
DOIs	https://doi.org/10.4134/CKMS.c160222
State	Published - 2017

Bibliographical note

Publisher Copyright:
© 2017 Korean Mathematical Society.

Keywords

Lattices in Lie groups
Partial compactification
Proper classifying spaces
Reduction theory

Access to Document

10.4134/CKMS.c160222

Cite this

@article{79a5aef1fcfa491286f53b71a0577a66,

title = "Cofinite proper classifying spaces for lattices in semisimple lie groups of R-rank 1",

abstract = "The Borel-Serre partial compactification gives cofinite models for the proper classifying space for arithmetic lattices. Non-arithmetic lattices arise only in semisimple Lie groups of R-rank one. The author generalizes the Borel\{Serre partial compactification to construct cofinite models for the proper classifying space for lattices in semisimple Lie groups of R-rank one by using the reduction theory of Garland and Raghunathan.",

keywords = "Lattices in Lie groups, Partial compactification, Proper classifying spaces, Reduction theory",

author = "Hyosang Kang",

note = "Publisher Copyright: {\textcopyright} 2017 Korean Mathematical Society.",

year = "2017",

doi = "10.4134/CKMS.c160222",

language = "English",

volume = "32",

pages = "745--763",

journal = "Communications of the Korean Mathematical Society",

issn = "1225-1763",

publisher = "Korean Mathematical Society",

number = "3",

}

TY - JOUR

T1 - Cofinite proper classifying spaces for lattices in semisimple lie groups of R-rank 1

AU - Kang, Hyosang

PY - 2017

Y1 - 2017

N2 - The Borel-Serre partial compactification gives cofinite models for the proper classifying space for arithmetic lattices. Non-arithmetic lattices arise only in semisimple Lie groups of R-rank one. The author generalizes the Borel{Serre partial compactification to construct cofinite models for the proper classifying space for lattices in semisimple Lie groups of R-rank one by using the reduction theory of Garland and Raghunathan.

AB - The Borel-Serre partial compactification gives cofinite models for the proper classifying space for arithmetic lattices. Non-arithmetic lattices arise only in semisimple Lie groups of R-rank one. The author generalizes the Borel{Serre partial compactification to construct cofinite models for the proper classifying space for lattices in semisimple Lie groups of R-rank one by using the reduction theory of Garland and Raghunathan.

KW - Lattices in Lie groups

KW - Partial compactification

KW - Proper classifying spaces

KW - Reduction theory

UR - https://www.scopus.com/pages/publications/85025168001

U2 - 10.4134/CKMS.c160222

DO - 10.4134/CKMS.c160222

M3 - Article

AN - SCOPUS:85025168001

SN - 1225-1763

VL - 32

SP - 745

EP - 763

JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 3

ER -

Cofinite proper classifying spaces for lattices in semisimple lie groups of R-rank 1

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this