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Cohomology of Hom-Leibniz and $n$-ary Hom-Nambu-Lie superalgebras (1406.3776v1)
Published 14 Jun 2014 in math.RT and math.RA
Abstract: The aim of this paper is to study the cohomology of Hom-Leibniz superalgebras. We construct the $q$-deformed Heisenberg-Virasoro superalgebra of Hom-type and provide as application the computations of the derivations and second cohomology group. Moreover, we extend to graded case the Takhtajan's construction of a cohomology of $n$-ary Hom-Nambu-Lie algebras starting from cohomology of Hom-Leibniz algebras.