On the universal enveloping algebra of a Lie-Rinehart algebra
Publication date
2008-01-25
Authors
Moerdijk, Ieke
Mrcun, J.
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Document Type
/dk/atira/pure/researchoutput/researchoutputtypes/workingpaper/preprint
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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
Mathematics - Quantum Algebra, Mathematics - Differential Geometry, Mathematics - Operator Algebras, 17B35, 16W30
Citation
Moerdijk, I & Mrcun, J 2008 'On the universal enveloping algebra of a Lie-Rinehart algebra' arXiv, pp. 1-9. https://doi.org/10.48550/arXiv.0801.3929