Homomorphic images of algebraic groups

Uri Bader; Elyasheev Leibtag

doi:https://doi.org/10.1016/j.jalgebra.2023.09.001

Homomorphic images of algebraic groups

Uri Bader, Elyasheev Leibtag

Department of Mathematics

Weizmann Institute of Science

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

Abstract

We study topological group theoretic properties of algebraic groups over local fields. In particular, we find conditions under which such groups have closed images under arbitrary continuous homomorphisms into arbitrary topological groups.

Original language	English
Pages (from-to)	77-117
Number of pages	41
Journal	Journal of Algebra
Volume	656
DOIs	https://doi.org/10.1016/j.jalgebra.2023.09.001
State	Published - 15 Oct 2024

Keywords

Algebraic groups
Lie groups
Minimal groups
Topological groups

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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https://doi.org/10.1016/j.jalgebra.2023.09.001

Cite this

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title = "Homomorphic images of algebraic groups",

abstract = "We study topological group theoretic properties of algebraic groups over local fields. In particular, we find conditions under which such groups have closed images under arbitrary continuous homomorphisms into arbitrary topological groups.",

keywords = "Algebraic groups, Lie groups, Minimal groups, Topological groups",

author = "Uri Bader and Elyasheev Leibtag",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",

year = "2024",

month = oct,

day = "15",

doi = "https://doi.org/10.1016/j.jalgebra.2023.09.001",

language = "الإنجليزيّة",

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issn = "0021-8693",

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TY - JOUR

T1 - Homomorphic images of algebraic groups

AU - Bader, Uri

AU - Leibtag, Elyasheev

PY - 2024/10/15

Y1 - 2024/10/15

N2 - We study topological group theoretic properties of algebraic groups over local fields. In particular, we find conditions under which such groups have closed images under arbitrary continuous homomorphisms into arbitrary topological groups.

AB - We study topological group theoretic properties of algebraic groups over local fields. In particular, we find conditions under which such groups have closed images under arbitrary continuous homomorphisms into arbitrary topological groups.

KW - Algebraic groups

KW - Lie groups

KW - Minimal groups

KW - Topological groups

UR - http://www.scopus.com/inward/record.url?scp=85172477464&partnerID=8YFLogxK

U2 - https://doi.org/10.1016/j.jalgebra.2023.09.001

DO - https://doi.org/10.1016/j.jalgebra.2023.09.001

M3 - مقالة

SN - 0021-8693

VL - 656

SP - 77

EP - 117

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Homomorphic images of algebraic groups

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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