Over the (1, 2)-dimensional supercircle, we investigate the second cohomology space associated with the Lie superalgebra\( \mathcal{K} \)(2) of vector fields on the supercircle S1|2 with coefficients in the space of weighted densities. We explicitly give the 2-cocycle spanning for these cohomology spaces.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 10, pp. 1323–1334, October, 2020. Ukrainian DOI: 10.37863/umzh.v72i10.6030.
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Basdouri, O., Braghtha, A. & Hammami, S. The Second Cohomology Spaces \( \mathcal{K} \)(2) with Coefficients in the Superspace of Weighted Densities. Ukr Math J 72, 1522–1535 (2021). https://doi.org/10.1007/s11253-021-01870-w
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DOI: https://doi.org/10.1007/s11253-021-01870-w