The problems of classifying pairs of forms and local algebras with zero cube radical are wild

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dc.creatorBelitskii, Genrich
dc.creatorBondarenko, Vitalij M.
dc.creatorLipyanski, Ruvim
dc.creatorPlachotnik, Vladimir V.
dc.creatorSergeichuk, Vladimir V.
dc.date2007-09-16
dc.date.accessioned2026-07-07T08:29:52Z
dc.date.available2026-07-07T08:29:52Z
dc.descriptionWe prove that over an algebraically closed field of characteristic not two the problems of classifying pairs of sesquilinear forms in which the second is Hermitian, pairs of bilinear forms in which the second is symmetric (skew-symmetric), and local algebras with zero cube radical and square radical of dimension 2 are hopeless since each of them reduces to the problem of classifying pairs of n-by-n matrices up to simultaneous similarity.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0709.2460
dc.identifierhttp://arxiv.org/abs/0709.2460
dc.identifierLinear Algebra Appl. 402 (2005) 135-142
dc.identifierdoi:10.1016/j.laa.2004.12.016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138093
dc.subjectRepresentation Theory
dc.subject17B30; 15A21; 16G60
dc.titleThe problems of classifying pairs of forms and local algebras with zero cube radical are wild
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