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arxiv: 0801.3929 · v2 · pith:YDVCW76Snew · submitted 2008-01-25 · 🧮 math.QA · math.DG· math.OA

On the universal enveloping algebra of a Lie-Rinehart algebra

classification 🧮 math.QA math.DGmath.OA
keywords algebraenvelopinglie-rinehartrinehartuniversalbialgebrabialgebrascartier-milnor-moore
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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.

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