On the universal enveloping algebra of a Lie-Rinehart algebra

Details On the universal enveloping algebra of a Lie-Rinehart algebra On the universal enveloping algebra of a Lie-Rinehart algebra

2008-01-25

arxiv.org/abs/0801.3929v2

published as: On the universal enveloping algebra of a Lie algebroid. Proc. Amer. Math. Soc. 138 (2010), 3135-3145

Mathematics

Quantum Algebra

Scientific paper

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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