Modular Classes of Loday Algebroids

Details Modular Classes of Loday Algebroids Modular Classes of Loday Algebroids

2008-03-13

arxiv.org/abs/0803.2047v1

C. R. Acad. Sci. Paris, Ser. I 346 (2008), 193-198

Mathematics

Differential Geometry

7 pages

Scientific paper

10.1016/j.crma.2007.12.012

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.

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