00925njm 22002777a 4500
dc
Laraiedh, Ismail
author
2019
Over the (1|2)-dimensional real superspace, we study ɑʄʄ(1|1)-trivial deformations of the action of the affine Lie superalgebra ɑʄʄ (2|1) on the direct sum of the superspaces of weighted densities. We compute the necessary and sufficient integrability conditions of a given infinitesimal deformation of this action and we prove that any formal deformation is equivalent to its infinitisemal part.
http://hdl.handle.net/10662/10327
LARAIEDH, I. (2019). ɑʄʄ (1|1)-trivial deformations of ɑʄʄ (2|1)-modules of weighted densities on the superspace ℝ½. Extracta Mathematicae 34 (2), 269-283. E-ISSN 2605-5686
10.17398/2605-5686.34.2.269
Extracta Mathematicae
2
269
283
34
2605-5686
Relative cohomology
Trivial deformation
Lie superalgebra
Symbol
Cohomología relativa
Deformación trivial
Superalgebra de Lie
Símbolo
ɑʄʄ(1|1)-trivial deformations of ɑʄʄ (2|1)-modules of weighted densities on the superspace ℝ½