Hom-Lie algebroids

Camille Laurent-Gengoux (1) , Joana Teles (2)

1 IECL - Institut Élie Cartan de Lorraine
2 CMUC - Center for Mathematics [Coimbra]

We define hom-Lie algebroids, a definition that may seem cumbersome at first, but which is justified, first, by a one-to-one corespondence with hom-Gerstenhaber algebras, a notion that we also introduce, and several examples, including hom-Poisson structures.

Mots clés: Lie algebroids; Hom-Lie

Domaines: Mathématiques [math]

Camille Laurent-Gengoux, Joana Teles. Hom-Lie algebroids. Journal of Geometry and Physics, 2013, 68, pp.69-75. ⟨10.1016/j.geomphys.2013.02.003⟩. ⟨hal-01093319⟩