Modular Classes of Loday Algebroids
Differential Geometry
2008-03-17 v1
Abstract
We introduce the concept of Loday algebroids, a generalization of Courant algebroids. We define the naive cohomology and modular class of a Loday algebroid, and we show that the modular class of the double of a Lie bialgebroid vanishes. For Courant algebroids, we describe the relation between the naive and standard cohomologies and we conjecture that they are isomorphic when the Courant algebroid is transitive.
Cite
@article{arxiv.0803.2047,
title = {Modular Classes of Loday Algebroids},
author = {Mathieu Stienon and Ping Xu},
journal= {arXiv preprint arXiv:0803.2047},
year = {2008}
}
Comments
7 pages