About the cohomology of the Lie superalgebra of vector fields on Rn|n
Ammar FAOUZI,
Université de Sfax, Faculté des Sciences, B.P. 802, Sfax, Tunisie
Kamoun KAOUTHAR,
faammar@yahoo.com
Abstract
In this paper, we compute the first space of cohomology of Vect(Rn|n), the Lie superalgebra of vector fields on the supermanifold Rnjn with coeffcients in F(Rn|n), the space of smooth functions on Rn|n. We give a super analog of the cohomologies of vector fields that where studied for instance by D.B. Fuchs
This work allows us to classify the deformations of the action of
Vect(Rn|n) on F(Rn|n).
Pour citer cet article
Ammar FAOUZI & Kamoun KAOUTHAR, «About the cohomology of the Lie superalgebra of vector fields on Rn|n», Bulletin de la Société Royale des Sciences de Liège [En ligne], Volume 76 - Année 2007, 12-20 URL : https://popups.uliege.be/0037-9565/index.php?id=450.
