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Start Over Descriptor "*COCYCLES" Topic homology theory Journal acta mathematica hungarica

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1 results on '"*COCYCLES"'

1. On the cohomology of the orthosymplectic superalgebra.

Author

Basdouri, Imed and Sayari, Essayed

Subjects
*HOMOLOGY theory, *SUPERALGEBRAS, *COCYCLES, *LAMBDA algebra, *MODULES (Algebra), *MATHEMATICAL analysis
Abstract

Let $\mathfrak{F}_{\lambda}^{n}$ be the $\mathop {\mathfrak {osp}}\nolimits \,(n|2)$-module of weighted densities on ℝ of weight λ. We compute the cohomology spaces $\mathrm{H}^{k}_{\mathrm{diff}}\left(\mathop {\mathfrak {osp}}\nolimits \,(n|2),\mathfrak{F}_{\lambda}^{n}\right)$, where k=1 and n=0,1,2 or k=2 and n=0,1. We explicitly give cocycles spanning these cohomology spaces. [ABSTRACT FROM AUTHOR]

Published
2011
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