Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773036 | Linear Algebra and its Applications | 2018 | 9 Pages |
Abstract
For each two-dimensional vector space V of commuting nÃn matrices over a field F with at least 3 elements, we denote by VË the vector space of all (n+1)Ã(n+1) matrices of the form [Aâ00] with AâV. We prove the wildness of the problem of classifying Lie algebras VË with the bracket operation [u,v]:=uvâvu. 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Vyacheslav Futorny, Tetiana Klymchuk, Anatolii P. Petravchuk, Vladimir V. Sergeichuk,