The second cohomology spaces $\mathcal{K}(2)$ with coefficents in the superspace of weighted densities

Keywords: Cohomologie, Lie superalgebra, weighted densities

Abstract

UDC 515.1

Over the $(1,2)$-dimensional supercircle, we investigate the second cohomology space associated the lie superalgebra $\mathcal{K}(2)$ of vector fields on the supercircle $S^{1|2}$ with coefficients in the space of weighted densities.
We explicitly give 2-cocycle spanning these cohomology spaces.

 

References

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Published
08.10.2020
How to Cite
BasdouriO., Braghtha A., and Hammami S. “The Second Cohomology Spaces $\mathcal{K}(2)$ With coefficents in the Superspace of Weighted Densities”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, no. 10, Oct. 2020, pp. 1323-34, doi:10.37863/umzh.v72i10.6030.
Section
Research articles