Stability and instability of lattices in semisimple groups

Uri Bader; Alexander Lubotzky; Roman Sauer; Shmuel Weinberger

doi:https://doi.org/10.1007/s11854-023-0329-5

Stability and instability of lattices in semisimple groups

Uri Bader, Alexander Lubotzky, Roman Sauer, Shmuel Weinberger

Department of Mathematics

Weizmann Institute of Science

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

Abstract

Using cohomological methods, we show that lattices in semisimple groups are typically stable with respect to the Frobenius norm but not with respect to the operator norm.

Original language	English
Pages (from-to)	1-23
Number of pages	23
Journal	Journal d'Analyse Mathematique
Volume	151
Issue number	1
DOIs	https://doi.org/10.1007/s11854-023-0329-5
State	Published - Dec 2023

All Science Journal Classification (ASJC) codes

Analysis
General Mathematics

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https://doi.org/10.1007/s11854-023-0329-5

al_Jd'AnalyseMathematique_StabilityandInstabilityofLattices_AM_2023Accepted author manuscript, 534 KB

https://arxiv.org/abs/2303.08943License: Other

Cite this

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title = "Stability and instability of lattices in semisimple groups",

abstract = "Using cohomological methods, we show that lattices in semisimple groups are typically stable with respect to the Frobenius norm but not with respect to the operator norm.",

author = "Uri Bader and Alexander Lubotzky and Roman Sauer and Shmuel Weinberger",

note = "Publisher Copyright: {\textcopyright} 2023, The Hebrew University of Jerusalem.",

year = "2023",

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doi = "https://doi.org/10.1007/s11854-023-0329-5",

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N2 - Using cohomological methods, we show that lattices in semisimple groups are typically stable with respect to the Frobenius norm but not with respect to the operator norm.

AB - Using cohomological methods, we show that lattices in semisimple groups are typically stable with respect to the Frobenius norm but not with respect to the operator norm.

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JO - Journal d'Analyse Mathematique

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Stability and instability of lattices in semisimple groups

Abstract

All Science Journal Classification (ASJC) codes

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