TY - JOUR
T1 - Modular classes of Loday algebroids
AU - Stiénon, Mathieu
AU - Xu, Ping
N1 - Funding Information:
E-mail addresses: stienon@math.ethz.ch (M. Stiénon), ping@math.psu.edu (P. Xu). 1 Research supported by the European Union through the FP6 Marie Curie R.T.N. ENIGMA (Contract number MRTN-CT-2004-5652). 2 Research partially supported by NSF grant DMS-0605725 & NSA grant H98230-06-1-0047.
PY - 2008/2
Y1 - 2008/2
N2 - 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).
AB - 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).
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U2 - 10.1016/j.crma.2007.12.012
DO - 10.1016/j.crma.2007.12.012
M3 - Article
AN - SCOPUS:39049136380
SN - 1631-073X
VL - 346
SP - 193
EP - 198
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 3-4
ER -