Leibniz Rules and Reality Conditions
Quantum Algebra
2015-06-26 v1 High Energy Physics - Theory
Differential Geometry
Abstract
An analysis is made of reality conditions within the context of noncommutative geometry. We show that if a covariant derivative satisfies a given left Leibniz rule then a right Leibniz rule is equivalent to the reality condition. We show also that the matrix which determines the reality condition must satisfy the Yang-Baxter condition if the extension of the covariant derivative to tensor products is to satisfy the reality condition. This is equivalent to the braid condition for the matrix which determines the right Leibniz rule.
Cite
@article{arxiv.math/9806071,
title = {Leibniz Rules and Reality Conditions},
author = {Gaetano Fiore and John Madore},
journal= {arXiv preprint arXiv:math/9806071},
year = {2015}
}
Comments
13 pages, LaTeX2e