Courant Algebroids and Strongly Homotopy Lie Algebras

Details Courant Algebroids and Strongly Homotopy Lie Algebras Courant Algebroids and Strongly Homotopy Lie Algebras

1998-02-27

arxiv.org/abs/math/9802118v1

Mathematics

Quantum Algebra

10 pages; submitted to Duke Journal of Mathematics

Scientific paper

Courant algebroids are structures which include as examples the doubles of Lie bialgebras and the direct sum of tangent and cotangent bundles 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.

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