Lie-Rinehart algebras, descent, and quantization
arXiv:math/0303016
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.
AMSTeX 2.1, 23 pages
References in corpus (3)
Cited by in corpus (21)
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- On longitudinal differential operators and Nash blowups