Second Cohomology Space of the Lie Superalgebra of contact vector fields\n \K(2) with coefficients in the superspace of weighted densities on\n S^1|2

2019/06/28 by Othmen Ncib, Ncib, Othmen
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1906.12126

Abstract

We investigate the second cohomology space of the Lie superalgebra\n\K(2) with coefficients in the superspace of weighted densities on\nthe (1,2)-dimentional real superspace. We explicitly give cocycles spanning\nthis cohomology space.\n

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