On Commuting Exponentials in Low Dimensions
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- July 2005
- DOI:
- 10.48550/arXiv.math/0507446
- arXiv:
- arXiv:math/0507446
- Bibcode:
- 2005math......7446G
- Keywords:
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- Rings and Algebras;
- 39B42
- E-Print:
- 7 pages