The space of all p-th roots of a nilpotent complex matrix is path-connected
Rings and Algebras
2020-03-10 v2
Abstract
Let p be a positive integer and A be a nilpotent complex matrix. We prove that the set of all p-th roots of A is path-connected.
Cite
@article{arxiv.1812.02203,
title = {The space of all p-th roots of a nilpotent complex matrix is path-connected},
author = {Clément de Seguins Pazzis},
journal= {arXiv preprint arXiv:1812.02203},
year = {2020}
}
Comments
12 pages