On Commuting Exponentials in Low Dimensions

Details On Commuting Exponentials in Low Dimensions On Commuting Exponentials in Low Dimensions

2005-07-21

arxiv.org/abs/math/0507446v1

Mathematics

Rings and Algebras

7 pages

Scientific paper

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.

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