23 citations · 45 across the 5 of their papers we have counts for
5 papers
Leibniz algebras associated with representations of filiform Lie algebras
Sh. A. Ayupov, L. M. Camacho, A. Kh. Khudoyberdiyev +1
In this paper we investigate Leibniz algebras whose quotient Lie algebra is a naturally graded filiform Lie algebra We introduce a Fock module for the algebra …
Solvable Leibniz algebras with triangular nilradicals
I. A. Karimjanov, A. Kh. Khudoyberdiyev, B. A. Omirov
In this paper the description of solvable Lie algebras with triangular nilradicals is extended to Leibniz algebras. It is proven that the matrices of the left and right operators o…
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…
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…
Some remarks on semisimple Leibniz algebras
S. Gomez-Vidal, A. Kh. Khudoyberdiyev, B. A. Omirov
From the Levi's Theorem it is known that every finite dimensional Lie algebra over a field of characteristic zero is decomposed into semidirect sum of solvable radical and semisimp…