Commmuting exponentials in dimension at most 3

Details Commmuting exponentials in dimension at most 3 Commmuting exponentials in dimension at most 3

2011-07-12

arxiv.org/abs/1107.2278v1

Mathematics

Rings and Algebras

Scientific paper

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 that for every positive integer t that is not in
U, exp(tA+B)=exp(tA)exp(B)=exp(B)exp(tA). ii) The pair (A,B) has property L of
Motzkin and Taussky and exp(A+B)=exp(A)exp(B)=exp(B)exp(A).

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