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http://hdl.handle.net/10662/10327
| 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. |
| URI: | http://hdl.handle.net/10662/10327 |
| DOI: | 10.17398/2605-5686.34.2.269 |
| Appears in Collections: | Extracta Mathematicae Vol. 34, nº 2 (2019) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_34_2_269.pdf | 387,03 kB | Adobe PDF | View/Open |
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