SU(n)-Connections and Noncommutative Differential Geometry
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
We study the noncommutative differential geometry of the algebra of endomorphisms of any SU(n)-vector bundle. We show that ordinary connections on such SU(n)-vector bundle can be interpreted in a natural way as a noncommutative 1-form on this algebra for the differential calculus based on derivations. We interpret the Lie algebra of derivations of the algebra of endomorphisms as a Lie algebroid. Then we look at noncommutative connections as generalizations of these usual connections.
Cite
@article{arxiv.dg-ga/9612017,
title = {SU(n)-Connections and Noncommutative Differential Geometry},
author = {Michel Dubois-Violette and Thierry Masson},
journal= {arXiv preprint arXiv:dg-ga/9612017},
year = {2008}
}
Comments
20 pages, LaTeX2e (use packages amstex, amssymb, theorem, a4, pb-diagram, lamsarrow)