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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the universal enveloping algebra of a Lie algebroid


Authors: I. Moerdijk and J. Mrcun
Journal: Proc. Amer. Math. Soc. 138 (2010), 3135-3145
MSC (2010): Primary 17B35, 16T10, 16T15
Published electronically: March 24, 2010
MathSciNet review: 2653938
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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.


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Additional Information

I. Moerdijk
Affiliation: Mathematical Institute, Utrecht University, P.O. Box 80.010, 3508 TA Utrecht, The Netherlands
Email: I.Moerdijk@uu.nl

J. Mrcun
Affiliation: Department of Mathematics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia
Email: janez.mrcun@fmf.uni-lj.si

DOI: http://dx.doi.org/10.1090/S0002-9939-10-10347-5
PII: S 0002-9939(10)10347-5
Received by editor(s): September 28, 2009
Received by editor(s) in revised form: December 17, 2009
Published electronically: March 24, 2010
Additional Notes: The second author was supported in part by the Slovenian Research Agency (ARRS) project J1-2247
Communicated by: Gail R. Letzter
Article copyright: © Copyright 2010 American Mathematical Society