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Article Dans Une Revue Ukrainian Mathematical Journal Année : 2021

The Second Cohomology Spaces K(2) with Coefficients in the Superspace of Weighted Densities

Résumé

Over the (1, 2)-dimensional supercircle, we investigate the second cohomology space associated with the Lie superalgebra K(2) of vector fields on the supercircle S-1 vertical bar 2 with coefficients in the space of weighted densities. We explicitly give the 2-cocycle spanning for these cohomology spaces.
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Dates et versions

hal-03301443 , version 1 (27-07-2021)

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Citer

O. Basdouri, Aymen Braghtha, S. Hammami. The Second Cohomology Spaces K(2) with Coefficients in the Superspace of Weighted Densities. Ukrainian Mathematical Journal, 2021, 72 (10), pp.1522-1535. ⟨10.1007/s11253-021-01870-w⟩. ⟨hal-03301443⟩
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