Modular classes of Loday algebroids

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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. To cite this article: M. Stiénon, P. Xu, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

Original languageEnglish (US)
Pages (from-to)193-198
Number of pages6
JournalComptes Rendus Mathematique
Volume346
Issue number3-4
DOIs
StatePublished - Feb 1 2008

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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