Divergences on projective modules and non-commutative integrals
Quantum Algebra
2011-07-21 v2
Abstract
A method of constructing (finitely generated and projective) right module structure on a finitely generated projective left module over an algebra is presented. This leads to a construction of a first order differential calculus on such a module which admits a hom-connection or a divergence. Properties of integrals associated to this divergence are studied, in particular the formula of integration by parts is derived. Specific examples include inner calculi on a noncommutative algebra, the Berezin integral on the supercircle and integrals on Hopf algebras.
Cite
@article{arxiv.1010.1470,
title = {Divergences on projective modules and non-commutative integrals},
author = {Tomasz Brzeziński},
journal= {arXiv preprint arXiv:1010.1470},
year = {2011}
}
Comments
13 pages; v2 construction of projective modules has been generalised