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

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 s...

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Bibliographic Details
Date:2020
Main Authors: Basdouri, O., Braghtha , A., Hammami , S., O., A., S.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2020
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6030
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal