6533b862fe1ef96bd12c769d
RESEARCH PRODUCT
Relative cohomology spaces for some osp($n|2$)-modules
Mabrouk Ben AmmarWafa MtaouaaWafa MtaouaaZeineb SelmiDidier Arnalsubject
Pure mathematics010102 general mathematics[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]Zero (complex analysis)Statistical and Nonlinear PhysicsLie superalgebraDifferential operator01 natural sciencesCohomologySuperalgebraMathematics::Quantum Algebra0103 physical sciencesVector field010307 mathematical physics0101 mathematicsMathematics::Representation TheoryNatural classMathematical PhysicsMathematicsdescription
International audience; In this work, we describe the H-invariant, so(n)-relative cohomology of a natural class of osp(n|2)-modules M, for n ≠ 2. The Lie superalgebra osp(n|2) can be realized as a superalgebra of vector fields on the superline R1|n. This yields canonical actions on spaces of densities and differential operators on the superline. The above result gives the zero, first, and second cohomology spaces for these modules of densities and differential operators.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-10-01 |