Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text

Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    6 0 0 0

Comptes Rendus Mathématique
Volume 346, n° 3-4
pages 193-198 (février 2008)
Doi : 10.1016/j.crma.2007.12.012
Received : 17 September 2007 ;  accepted : 9 December 2007
Modular classes of Loday algebroids
Algébroïdes de Loday

Mathieu Stiénon a, 1 , Ping Xu b, 2
a Departement Mathematik, Eidgenössische Technische Hochschule Zürich, Rämistrasse 101, CH-8092 Zürich, Switzerland 
b Department of Mathematics, Pennsylvania State University, 109, McAllister Building, University Park, PA 16802, USA 


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).

The full text of this article is available in PDF format.

Nous introduisons le concept d’algébroïde de Loday, une généralisation des algébroïdes de Courant, en définissons la cohomologie naïve et la classe modulaire, et nous montrons que la classe modulaire du double d’un bigébroïde de Lie est nulle. Dans le cas des algébroïdes de Courant, nous décrivons la relation entre les cohomologies naïve et standard et nous conjecturons qu’elles sont isomorphes quand l’algébroïde de Courant est transitif. Pour citer cet article : M. Stiénon, P. Xu, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.
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.

© 2007  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Article Outline
You can move this window by clicking on the headline