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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the universal enveloping algebra of a Lie algebroid
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by I. Moerdijk and J. Mrčun PDF
Proc. Amer. Math. Soc. 138 (2010), 3135-3145 Request permission

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.
References
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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. Mrčun
  • Affiliation: Department of Mathematics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia
  • Email: janez.mrcun@fmf.uni-lj.si
  • 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
  • © Copyright 2010 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 3135-3145
  • MSC (2010): Primary 17B35, 16T10, 16T15
  • DOI: https://doi.org/10.1090/S0002-9939-10-10347-5
  • MathSciNet review: 2653938