Star products and central extensions
Mathematical Physics
2007-05-23 v2 High Energy Physics - Theory
math.MP
Abstract
The purpose of the present note is two-fold. First, to show that deformations of algebras of smooth functions can be used to construct topologically nontrivial standard central extensions of loop groups. Second, to use noncommutative geometry as a regularization of current algebras in higher dimensions with the aim of constructing representations of current algebras.
Cite
@article{arxiv.math-ph/0409032,
title = {Star products and central extensions},
author = {Jouko Mickelsson},
journal= {arXiv preprint arXiv:math-ph/0409032},
year = {2007}
}
Comments
Minor corrections and added references