On the centralizer of the sum of commuting nilpotent elements

Simple item page
dc.creatorMcNinch, George
dc.date2004-12-14
dc.date2005-10-23
dc.date.accessioned2026-07-07T08:22:41Z
dc.date.available2026-07-07T08:22:41Z
dc.descriptionLet X and Y be commuting nilpotent K-endomorphisms of a vector space V, where K is a field of characteristic p >= 0. If F=K(t) is the field of rational functions on the projective line, consider the K(t)-endomorphism A=X+tY of V. If p=0, or if the (p-1)-st power of A is 0, we show here that X and Y are tangent to the unipotent radical of the centralizer of A in GL(V). For all geometric points (a:b) of a suitable open subset of the projective line, it follows that X and Y are tangent to the unipotent radical of the centralizer of aX+bY. This answers a question of J. Pevtsova.
dc.description12 pages. To appear in the Friedlander birthday volume of J. Pure and Applied Algebra
dc.identifierhttps://arxiv.org/abs/math/0412283
dc.identifierhttp://arxiv.org/abs/math/0412283
dc.identifierJournal of Pure and Applied Algebra. Volume 206, Issues 1-2, July 2006, Pages 123-140. Special issue dedicated to Eric M. Friedlander on the occasion of his 60th birthday.
dc.identifierdoi:10.1016/j.jpaa.2005.04.016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135733
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject20G15
dc.titleOn the centralizer of the sum of commuting nilpotent elements
dc.typetext

Files

Collections

arXiv