Pairs of matrices with simple spectrum
Rings and Algebras
2023-10-03 v1 Commutative Algebra
Combinatorics
Representation Theory
Abstract
We established two-sided Curto-Herrero conjecture for pairs of matrices, where the first matrix has a simple spectrum. Namely, it is shown that these pairs are separated by ranks of non-commutative polynomials in matrices. Moreover, we provided some upper bound on degrees of non-commutative polynomials which should be considered.
Keywords
Cite
@article{arxiv.2310.00476,
title = {Pairs of matrices with simple spectrum},
author = {Jennyfer Juliana Calderón Moreno and Artem Lopatin},
journal= {arXiv preprint arXiv:2310.00476},
year = {2023}
}
Comments
16 pages