University of California at Berkeley, Berkeley, California E-mail: firstname.lastname@example.org University of California at Berkeley, Berkeley, California E-mail: email@example.com
Abstract: Courant algebroids are structures which include as examples the doubles of Lie bialgebras and the bundle $TM\oplus T^*M$ 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.
Keywords: Dirac structures, Lie algebroids, homotopy Lie algebras
Full text of the article: