On Commuting Exponentials in Low Dimensions
Rings and Algebras
2007-05-23 v1
Abstract
We introduce and study the following relation between 2 linear functions f,g on a vector space of dimension d<=3: exp(tf+g)=exp(tf)exp(g) for every t an integer. If d=2 then f,g are simultaneously trigonalizable. If d=3 the same relation holds given a supplementary condition. In this manner we can avoid the postulate 2i(Pi) congruence free which has been used by researchers since 1954.
Cite
@article{arxiv.math/0507446,
title = {On Commuting Exponentials in Low Dimensions},
author = {Bourgeois Gerald},
journal= {arXiv preprint arXiv:math/0507446},
year = {2007}
}
Comments
7 pages