What about A,B if AB-BA and A commute

Details What about A,B if AB-BA and A commute What about A,B if AB-BA and A commute

2011-03-22

arxiv.org/abs/1103.4200v1

Mathematics

Rings and Algebras

3 pages

Scientific paper

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.

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