Low-dimensional representations of matrix groups and group actions on CAT(0) spaces and manifolds

Shengkui Ye

doi:10.1016/j.jalgebra.2014.03.025

Low-dimensional representations of matrix groups and group actions on CAT(0) spaces and manifolds

Shengkui Ye^*

^*Corresponding author for this work

Department of Pure Mathematics

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

7 Citations (Scopus)

Abstract

We study low-dimensional representations (rigidity problem) of matrix groups over general rings, by considering group actions on CAT(0) spaces, spheres and acyclic manifolds.

Original language	English
Pages (from-to)	219-243
Number of pages	25
Journal	Journal of Algebra
Volume	409
DOIs	https://doi.org/10.1016/j.jalgebra.2014.03.025
Publication status	Published - 1 Jul 2014

Keywords

Elementary groups over general rings
Group actions on manifolds
Unitary groups

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10.1016/j.jalgebra.2014.03.025

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title = "Low-dimensional representations of matrix groups and group actions on CAT(0) spaces and manifolds",

abstract = "We study low-dimensional representations (rigidity problem) of matrix groups over general rings, by considering group actions on CAT(0) spaces, spheres and acyclic manifolds.",

keywords = "Elementary groups over general rings, Group actions on manifolds, Unitary groups",

author = "Shengkui Ye",

year = "2014",

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doi = "10.1016/j.jalgebra.2014.03.025",

language = "English",

volume = "409",

pages = "219--243",

journal = "Journal of Algebra",

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N2 - We study low-dimensional representations (rigidity problem) of matrix groups over general rings, by considering group actions on CAT(0) spaces, spheres and acyclic manifolds.

AB - We study low-dimensional representations (rigidity problem) of matrix groups over general rings, by considering group actions on CAT(0) spaces, spheres and acyclic manifolds.

KW - Elementary groups over general rings

KW - Group actions on manifolds

KW - Unitary groups

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U2 - 10.1016/j.jalgebra.2014.03.025

DO - 10.1016/j.jalgebra.2014.03.025

M3 - Article

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SN - 0021-8693

VL - 409

SP - 219

EP - 243

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Low-dimensional representations of matrix groups and group actions on CAT(0) spaces and manifolds

Abstract

Keywords

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