Physical Aspects of Differential Calculi on Commutative Algebras
High Energy Physics - Theory
2008-02-03 v3 General Relativity and Quantum Cosmology
Abstract
The central structure in various versions of noncommutative geometry is a differential calculus on an associative algebra. This is an analogue of the calculus of differential forms on a manifold. In this short review we collect examples of differential calculi on commutative algebras (which can be regarded as algebras of functions on some topological space). We explain how these are related to relevant structures in physics.
Cite
@article{arxiv.hep-th/9406200,
title = {Physical Aspects of Differential Calculi on Commutative Algebras},
author = {F. M"uller-Hoissen},
journal= {arXiv preprint arXiv:hep-th/9406200},
year = {2008}
}
Comments
21 pages, LaTeX, Karpacz lectures, GOET-TP 66/94 revised (inessential corrections)