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- W2070792211 abstract "In this paper we describe the infinitesimal deformations of null-filiform Leibniz superalgebras over a field of zero characteristic. It is known that up to isomorphism in each dimension there exist two such superalgebras NFn,m. One of them is a Leibniz algebra (that is m=0) and the second one is a pure Leibniz superalgebra (that is m≠0) of maximum nilindex. We show that the closure of the union of orbits of single-generated Leibniz algebras forms an irreducible component of the variety of Leibniz algebras. We prove that any single-generated Leibniz algebra is a linear integrable deformation of the algebra NFn. Similar results for the case of Leibniz superalgebras are obtained." @default.
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- W2070792211 date "2013-12-01" @default.
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- W2070792211 title "Infinitesimal deformations of null-filiform Leibniz superalgebras" @default.
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- W2070792211 doi "https://doi.org/10.1016/j.geomphys.2013.08.015" @default.
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