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math.RA2011
Commmuting exponentials in dimension at most 3
Gerald Bourgeois
Let A,B be two square complex matrices of dimension at most 3. We show that the following conditions are equivalent i) There exists a finite subset U included in {2,3,4,...} such t…
math.RA2011
What about A,B if AB-BA and A commute
Gerald Bourgeois
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…