Centralizers in partially commutative Lie algebras
type: Item
instance of: scholarly article
title: Centralizers in partially commutative Lie algebras
zbMATH Open document ID: 1286.17005
published in: Algebra and Logic
publication date: 2013-02-21T00:00:00Z
review text: If \(G\) is any graph with the finite set of vertices \(X\) and \(R\) is any integral domain, then a partially commutative Lie \(R\)-algebra associated with \(G\) is any Lie algebra \({\mathcal L}\) with a finite set of generators \(\{A_x\}_{x\in X}\) satisfying the commutation relations \([A_x,A_y]=0\) whenever \(xy\) is an edge of \(G\). The main results of the paper under review provide descriptions of centralizers of elements of such a Lie algebra \({\mathcal L}\) in terms of the generators \(\{A_x\}_{x\in X}\).
Mathematics Subject Classification ID: 17B01
Mathematics Subject Classification ID: 05C90
zbMATH DE Number: 6138180
zbMATH Keywords: partially commutative Lie algebra
zbMATH Keywords: centralizer
author: Evgeniĭ Nikolaevich Poroshenko
reviewed by: Daniel Beltiţă
MaRDI profile type: Publication
full work available at URL: s10469-012-9196-3
OpenAlex ID: W1996872018
Wikidata QID: Q115384457
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DOI: 10.1007/S10469-012-9196-3
description: scientific article; zbMATH DE number 6138180