Courant algebroids and strongly homotopy Lie algebras

Authors
Roytenberg, D Weinstein, A
Citation
D. Roytenberg et A. Weinstein, Courant algebroids and strongly homotopy Lie algebras, LETT MATH P, 46(1), 1998, pp. 81-93
Citations number
24
Categorie Soggetti
Physics
Journal title
LETTERS IN MATHEMATICAL PHYSICS
ISSN journal
03779017 → ACNP
Volume
46
Issue
1
Year of publication
1998
Pages
81 - 93
Database
ISI
SICI code
0377-9017(199810)46:1<81:CAASHL>2.0.ZU;2-I
Abstract
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. Co urant for the study of Dirac structures. Within the category of Courant alg ebroids one can construct the doubles of Lie bialgebroids, the infinitesima l objects for Poisson groupoids. We show that Courant algebroids can be con sidered as strongly homotopy Lie algebras.