3 papers
math.RA2024
On the third cohomology of the Lie algebra of vector fields on weighted densities on R
Wajd Afsi, Salem Omri
Let Vect() be the Lie algebra of smooth vector fields on and be the space of -densities on . Vect() acts on $\mat…
math.DG2018
The Binary -Invariant Differential Operators On Weighted Densities On The Superspace And -Relative Cohomology
Khaled Basdouri, Salem Omri, Wissal Swilah
We consider the module structure on the spaces of differential bilinear operators acting on the superspaces of weighted densities. We classify $\mathfrak{aff}…
math-ph2006
Deforming the Lie Superalgebra of Contact Vector Fields on
Boujemaa Agrebaoui, Nizar Ben Fraj, Salem Omri
We classify nontrivial deformations of the standard embedding of the Lie superalgebra K(1) of contact vector fields on the (1,1)-dimensional supercircle into the Lie superalgebra o…