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Título:	Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras
Autor/a:	Futorny, Vyacheslav; Klymchuk, Tetiana; Petravchukc, Anatolii P.; Sergeichuk, Vladimir V.
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtiques
Abstract:	For each two-dimensional vector space V of commuting n×n matrices over a field F with at least 3 elements, we denote by V˜ the vector space of all (n+1)×(n+1) matrices of the form [A¿00] with A¿V. We prove the wildness of the problem of classifying Lie algebras V˜ with the bracket operation [u,v]:=uv-vu. We also prove the wildness of the problem of classifying two-dimensional vector spaces consisting of commuting linear operators on a vector space over a field.
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra -Functional analysis -Algebra -Matrix Lie algebras -Spaces of commuting linear operators -Wild problems -Àlgebra -Anàlisi funcional
Derechos:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Tipo de documento:	Artículo - Versión presentada Artículo
Editor:	Elsevier
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