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Title: ɑʄʄ(1|1)-trivial deformations of ɑʄʄ (2|1)-modules of weighted densities on the superspace ℝ½
Authors: Laraiedh, Ismail
Keywords: Relative cohomology;Trivial deformation;Lie superalgebra;Symbol;Cohomología relativa;Deformación trivial;Superalgebra de Lie;Símbolo
Issue Date: 2019
Publisher: Universidad de Extremadura
Abstract: 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.
DOI: 10.17398/2605-5686.34.2.269
Appears in Collections:Extracta Mathematicae Vol. 34, nº 2 (2019)

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