1998/02/27 by Dmitry Roytenberg, Alan Weinstein · 1 citation
Mathematics · #math.QA #math.DG
published as Lett. Math. Phys. 46 (1998), 81--93 · 10 pages; submitted to Duke Journal of Mathematics
arxiv created 1998/02/27 · arxiv updated 2014/02/05
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.