Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498270 | Linear Algebra and its Applications | 2005 | 14 Pages |
Abstract
We 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Genrich Belitskii, Ruvim Lipyanski, Vladimir V. Sergeichuk,