Elements in reductive algebraic groups with Abelian connected centralizers.
type: Item
instance of: scholarly article
title: Elements in reductive algebraic groups with Abelian connected centralizers.
zbMATH Open document ID: 1261.20048
author: Xianqiang Yang
published in: Journal of Algebra
publication date: 2012-11-08T00:00:00Z
review text: The author proves that, with essentially one exception, an element in a reductive algebraic group has Abelian connected centralizer if and only if it is regular. This extends a result of Kurtzke, who proved the statement (without exception) in the case of good characteristic; this assumption allowed results about the group to be deduced from calculations in its Lie algebra. By contrast, the work here relies on explicit calculations in the algebraic groups themselves.
Mathematics Subject Classification ID: 20G15
zbMATH DE Number: 6103771
zbMATH Keywords: reductive algebraic groups
zbMATH Keywords: centralizers
zbMATH Keywords: regular elements
zbMATH Keywords: unipotent elements
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2012.03.015
OpenAlex ID: W1993317508
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DOI: 10.1016/J.JALGEBRA.2012.03.015
description: scientific article; zbMATH DE number 6103771