Letters in Mathematical Physics

, Volume 46, Issue 1, pp 81–93 | Cite as

Courant Algebroids and Strongly and Strongly Homotopy Lie Algebras

  • Dmitry Roytenberg
  • Alan WeinsteinEmail author


Courant algebroids are structures which include as examples the doubles of Lie bialgebras and the bundle TM⊕ T*M with the bracket introduced by T. Courant for the study of Dirac structures. Within the category of Courant algebroids one can construct the doubles of Lie bialgebroids, the infinitesimal objects for Poisson groupoids. We show that Courant algebroids can be considered as strongly homotopy Lie algebras.

strongly homotopy Lie algebras Lie algebroids Dirac structures Poisson geometry. 


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© Kluwer Academic Publishers 1998

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyU.S.A

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