On the universal enveloping algebra of a Lie-Rinehart algebra
Quantum Algebra
2012-11-01 v2 Differential Geometry
Operator Algebras
Abstract
We review the extent to which the universal enveloping algebra of a Lie-Rinehart algebra resembles a Hopf algebra, and refer to this structure as a Rinehart bialgebra. We then prove a Cartier-Milnor-Moore type theorem for such Rinehart bialgebras.
Keywords
Cite
@article{arxiv.0801.3929,
title = {On the universal enveloping algebra of a Lie-Rinehart algebra},
author = {I. Moerdijk and J. Mrcun},
journal= {arXiv preprint arXiv:0801.3929},
year = {2012}
}