What about A,B if AB-BA and A commute
Rings and Algebras
2011-03-23 v1
Abstract
Let A,B be complex n,n complex matrices such that AB-BA and A commute. We show that, if n=2 then A,B are simultaneously triangularizable and if n>=3 then there exists such a couple A,B such that the pair (A,B) has not property L of Motzkin-Taussky and such that B and C are not simultaneously triangularizable.
Cite
@article{arxiv.1103.4200,
title = {What about A,B if AB-BA and A commute},
author = {Gerald Bourgeois},
journal= {arXiv preprint arXiv:1103.4200},
year = {2011}
}
Comments
3 pages