Lie-Rinehart algebras, descent, and quantization

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dc.creatorHuebschmann, Johannes
dc.date2003-03-02
dc.date.accessioned2026-07-07T04:55:42Z
dc.date.available2026-07-07T04:55:42Z
dc.descriptionA 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.
dc.descriptionAMSTeX 2.1, 23 pages
dc.identifierhttps://arxiv.org/abs/math/0303016
dc.identifierhttp://arxiv.org/abs/math/0303016
dc.identifierIn: Galois theory, Hopf algebras, and semiabelian categories, Fields Inst. Commun. 43 (2004), 295-316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66670
dc.subjectSymplectic Geometry
dc.subjectMathematical Physics
dc.subject14L24 14L30 17B63 17B65 17B66 17B81 31C17 32C20 32Q15 32S05 32S60 53D17 53D20 53D50 58F05 58F06 81S10
dc.titleLie-Rinehart algebras, descent, and quantization
dc.typetext

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