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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138095We 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.18 pagesRepresentation Theory17B30; 15A21; 16G60Problems of classifying associative or Lie algebras and triples of symmetric or skew-symmetric matrices are wildtext