Courant Algebroids and Strongly Homotopy Lie Algebras
Quantum Algebra
2014-02-05 v1 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/9802118,
title = {Courant Algebroids and Strongly Homotopy Lie Algebras},
author = {Dmitry Roytenberg and Alan Weinstein},
journal= {arXiv preprint arXiv:math/9802118},
year = {2014}
}
Comments
10 pages; submitted to Duke Journal of Mathematics