Noncommutative coordinate algebras
Quantum Algebra
2010-03-19 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
Rings and Algebras
Abstract
We discuss the noncommutative generalizations of polynomial algebras which after appropriate completions can be used as coordinate algebras in various noncommutative settings, (noncommutative differential geometry, noncommutative algebraic geometry, etc.). These algebras have finite presentations and are completely characterized and classified by their (noncommutative) volume forms.
Cite
@article{arxiv.0810.1114,
title = {Noncommutative coordinate algebras},
author = {Michel Dubois-Violette},
journal= {arXiv preprint arXiv:0810.1114},
year = {2010}
}
Comments
28 pages, dedicated to Alain Connes