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On the universal enveloping algebra of a Lie algebroid
Author(s):
I.
Moerdijk;
J.
Mrcun
Journal:
Proc. Amer. Math. Soc.
138
(2010),
3135-3145.
MSC (2010):
Primary 17B35, 16T10, 16T15
Posted:
March 24, 2010
MathSciNet review:
2653938
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Additional information
Abstract:
We review the extent to which the structure of the universal enveloping algebra of a Lie algebroid over a manifold  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:
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
Posted:
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
Copyright of article:
Copyright
2010,
American Mathematical Society
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