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- Volume 76 - Année 2007
- About the cohomology of the Lie superalgebra of vector fields on Rn|n
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About the cohomology of the Lie superalgebra of vector fields on Rn|n

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
A propos de : Ammar FAOUZI
Université de Sfax, Faculté des Sciences, B.P. 802, Sfax, Tunisie
A propos de : Kamoun KAOUTHAR
faammar@yahoo.com