Modular Classes of Loday Algebroids
arXiv:0803.2047 · doi:10.1016/j.crma.2007.12.012
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.
7 pages