On the universal enveloping algebra of a Lie-Rinehart algebra
Publication date
2008-01-25
Authors
Moerdijk, I.
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://arxiv.org/abs/0801.3929 >