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arXiv · 0803.2047

Modular Classes of Loday Algebroids

Mathieu Stienon·Ping Xu
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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.

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BibTeXRIS

Mathieu Stienon, Ping Xu. 2008-03-13. Modular Classes of Loday Algebroids. https://doi.org/10.1016/j.crma.2007.12.012

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