2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66670A 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 pagesSymplectic GeometryMathematical Physics14L24 14L30 17B63 17B65 17B66 17B81 31C17 32C20 32Q15 32S05 32S60 53D17 53D20 53D50 58F05 58F06 81S10Lie-Rinehart algebras, descent, and quantizationtext