Super-rigidity and non-linearity for lattices in products

Uri Bader; Alex Furman

doi:10.1112/S0010437X19007607

Super-rigidity and non-linearity for lattices in products

Uri Bader, Alex Furman

Department of Mathematics

Weizmann Institute of Science

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

Abstract

We prove a super-rigidity result for algebraic representations over complete fields of irreducible lattices in products of groups and lattices with dense commensurator groups. We derive criteria for the non-linearity of such groups.

Original language	English
Pages (from-to)	158-178
Number of pages	21
Journal	Compositio Mathematica
Volume	156
Issue number	1
Early online date	26 Nov 2019
DOIs	https://doi.org/10.1112/S0010437X19007607
State	Published - 1 Jan 2020

Keywords

Lattices
Polish fields
Super-rigidity

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1112/S0010437X19007607

https://arxiv.org/abs/1802.09931License: Other

Cite this

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abstract = "We prove a super-rigidity result for algebraic representations over complete fields of irreducible lattices in products of groups and lattices with dense commensurator groups. We derive criteria for the non-linearity of such groups.",

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AB - We prove a super-rigidity result for algebraic representations over complete fields of irreducible lattices in products of groups and lattices with dense commensurator groups. We derive criteria for the non-linearity of such groups.

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KW - Polish fields

KW - Super-rigidity

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DO - 10.1112/S0010437X19007607

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JO - Compositio Mathematica

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Super-rigidity and non-linearity for lattices in products

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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