@article{Basdouri_Braghtha_Hammami_2020, title={The second cohomology spaces $\mathcal{K}(2)$ with coefficents in the superspace of weighted densities}, volume={72}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/6030}, DOI={10.37863/umzh.v72i10.6030}, abstractNote={<p>UDC 515.1<br><br></p> <p>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. <br>We explicitly give 2-cocycle spanning these cohomology spaces.</p> <p>&nbsp;</p&gt;}, number={10}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Basdouri, O. and Braghtha , A. and Hammami , S.}, year={2020}, month={Oct.}, pages={1323-1334} }