Arithmetic structure of fundamental groups and actions of semisimple Lie groups

Alexander Lubotzky; Robert J. Zimmer

doi:10.1016/S0040-9383(99)00087-7

Arithmetic structure of fundamental groups and actions of semisimple Lie groups

Alexander Lubotzky^*
, Robert J. Zimmer

^*Corresponding author for this work

Einstein Institute of Mathematics

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

11 Scopus citations

Abstract

If a simple Lie group acts on a space M with a finite invariant measure, we investigate the arithmetic properties of the fundamental group, and the arithmetic structure of the action.

Original language	English
Pages (from-to)	851-869
Number of pages	19
Journal	Topology
Volume	40
Issue number	4
DOIs	https://doi.org/10.1016/S0040-9383(99)00087-7
State	Published - Jul 2001

Keywords

22E40
22F10
22F50
Arithmetic group
Fundamental group
Group action
Simple Lie group

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10.1016/S0040-9383(99)00087-7

Cite this

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abstract = "If a simple Lie group acts on a space M with a finite invariant measure, we investigate the arithmetic properties of the fundamental group, and the arithmetic structure of the action.",

keywords = "22E40, 22F10, 22F50, Arithmetic group, Fundamental group, Group action, Simple Lie group",

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KW - 22F10

KW - 22F50

KW - Arithmetic group

KW - Fundamental group

KW - Group action

KW - Simple Lie group

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JO - Topology

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ER -

Arithmetic structure of fundamental groups and actions of semisimple Lie groups

Abstract

Keywords

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