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

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Ukrainian Mathematical Journal Aims and scope

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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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science of Gafsa, Gafsa, Tunisia

    O. Basdouri

  2. University of Burgundy, Burgundy Institute of Mathematics, Dijon, France

    A. Braghtha

  3. University of Sfax, Sfax, Tunisia

    S. Hammami

Authors
  1. O. Basdouri
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  2. A. Braghtha
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  3. S. Hammami
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Corresponding author

Correspondence to O. Basdouri.

Additional information

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

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