Problems of classifying associative or Lie algebras and triples of symmetric or skew-symmetric matrices are wild

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dc.creatorBelitskii, Genrich
dc.creatorLipyanski, Ruvim
dc.creatorSergeichuk, Vladimir V.
dc.date2007-09-16
dc.date.accessioned2026-07-07T08:29:53Z
dc.date.available2026-07-07T08:29:53Z
dc.descriptionWe prove that the problems of classifying triples of symmetric or skew-symmetric matrices up to congruence, local commutative associative algebras with zero cube radical and square radical of dimension 3, and Lie algebras with central commutator subalgebra of dimension 3 are hopeless since each of them reduces to the problem of classifying pairs of n-by-n matrices up to simultaneous similarity.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0709.2463
dc.identifierhttp://arxiv.org/abs/0709.2463
dc.identifierLinear Algebra Appl. 407 (2005) 249-262
dc.identifierdoi:10.1016/j.laa.2005.05.007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138095
dc.subjectRepresentation Theory
dc.subject17B30; 15A21; 16G60
dc.titleProblems of classifying associative or Lie algebras and triples of symmetric or skew-symmetric matrices are wild
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