Title of article :
First Cohomology of the Lie Algebra of Vector Fields on the Affine Real Line Relative to Affine Vector Fields with Coefficients in Bilinear Differential Operators on Weighted Densities
Author/Authors :
Basdouri ، Imed Département de Mathématiques - Faculté des Sciences de Gafsa , Hamdouni ، Abdelkader Department of Mathematics - Institut Supérieur des Sciences et Technologies de l’Environnement - Université de Carthage , Nasri ، Elamine Département de Mathématiques - Faculté des Sciences de Gafsa , Missaoui ، Amira Département de Mathématiques - Faculté des Sciences de Sfax
Abstract :
The main result of this paper is to compute the a(1)-relative 1−cohomology space of the Lie algebraVect(R),with coefficients in the space of binary bidifferential operators that act on λ−densities,Dλ,ν,μ, vanishing on the 2-dimensional affine Lie algebra a(1).
Keywords :
Invariant bidifferential operators , Lie algebra of vector fields , Gelfand–Fuchs cohomology , Deformation
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
