An adelic arithmeticity theorem for lattices in products

Uri Bader; Alex Furman; Roman Sauer

doi:10.1007/s00209-019-02241-9

An adelic arithmeticity theorem for lattices in products

Uri Bader, Alex Furman, Roman Sauer

Department of Mathematics

Weizmann Institute of Science

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

Abstract

In this paper we prove that, under mild assumptions, a lattice in a product of semi-simple Lie group and a totally disconnected locally compact group is, in a certain sense, arithmetic. We do not assume the lattice to be finitely generated or the ambient group to be compactly generated.

Original language	English
Pages (from-to)	1181-1199
Number of pages	19
Journal	Mathematische Zeitschrift
Volume	293
Issue number	3-4
Early online date	24 Jan 2019
DOIs	https://doi.org/10.1007/s00209-019-02241-9
State	Published - 1 Dec 2019

Keywords

Adels
Algebraic group
Arithmetic group
Lattice
tdlc group

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00209-019-02241-9

http://arxiv.org/abs/1705.08158License: Other

Cite this

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KW - Adels

KW - Algebraic group

KW - Arithmetic group

KW - Lattice

KW - tdlc group

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An adelic arithmeticity theorem for lattices in products

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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