On the universal enveloping algebra of a lie algebroid

Publication date

2010

Authors

Moerdijk, IekeISNI 0000000115731023
Mrcun, J.

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Document Type

Article
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Abstract

We review the extent to which the structure of the universal enveloping algebra of a Lie algebroid over a manifold M resembles a Hopf algebra, and prove a Cartier-Milnor-Moore theorem for this type of structure.

Keywords

Mathematics, Landbouwwetenschappen, Natuurwetenschappen, Wiskunde: algemeen

Citation

Moerdijk, I & Mrcun, J 2010, 'On the universal enveloping algebra of a lie algebroid', Proceedings of the American Mathematical Society, vol. 138, no. 9, pp. 3135-3145. https://doi.org/10.1090/s0002-9939-10-10347-5