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math.AG2013★ 7 cited
Infinitesimal deformations of naturally graded filiform Leibniz algebras
A. Kh. Khudoyberdiyev, B. A Omirov
We describe infinitesimal deformations of complex naturally graded filiform Leibniz algebras. It is known that any -dimensional filiform Lie algebra can be obtained by a linear…
math.AG2013★ 23 cited
Infinitesimal deformations of null-filiform Leibniz superalgebras
A. Kh. Khudoyberdiyev, B. A. Omirov
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 dime…