Lie-Rinehart algebras, descent, and quantization
Symplectic Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
A Lie-Rinehart algebra consists of a commutative algebra and a Lie algebra with additional structure which generalizes the mutual structure of interaction between the algebra of functions and the Lie algebra of smooth vector fields on a smooth manifold. Lie-Rinehart algebras provide the correct categorical language to solve the problem whether Kaehler quantization commutes with reduction which, in turn, may be seen as a descent problem.
Cite
@article{arxiv.math/0303016,
title = {Lie-Rinehart algebras, descent, and quantization},
author = {Johannes Huebschmann},
journal= {arXiv preprint arXiv:math/0303016},
year = {2007}
}
Comments
AMSTeX 2.1, 23 pages