A Very Brief Note on Some Commutative Algebraic Properties of a Dirac-Fueter Modified Equation
Mathematical Physics
2007-05-23 v2 math.MP
Abstract
We call attention to the unusual properties that the 4 dimensional solutions for a modified Fueter-Dirac equations satisfy: In a coordinate-free, constant-free and strictly mathematical way it is possible to show that all the solutions for a modified Fueter-Dirac Equation, which are radial symmetric when restricted to the 3-space, have a nice algebraic structure. Locally, these solutions behave naturally in a algebraic way determined by a certain commutative ring related to the quaternions with non-invertibles. This ring has a nontrivial localization. By using left and right versions of the operator we obtain quirality.
Keywords
Cite
@article{arxiv.math-ph/0412013,
title = {A Very Brief Note on Some Commutative Algebraic Properties of a Dirac-Fueter Modified Equation},
author = {Daniel Alayon-Solarz},
journal= {arXiv preprint arXiv:math-ph/0412013},
year = {2007}
}
Comments
Correction: Abstract and paper title were the same