8 papers · 1 filter
Abelian extensions of five-dimensional solvable Leibniz algebras
A. Kh. Khudoyberdiyev, S. A. Sheraliyeva
In this work, we extend the central extension method for solvable Leibniz algebras. Using this method, a complete classification of one-dimensional abelian extensions of five-dimen…
The geometric classification of nilpotent Lie-Yamaguti, Bol and compatible Lie algebras
Kobiljon Abdurasulov, Abror Khudoyberdiyev, Feruza Toshtemirova
The geometric classifications of complex -dimensional nilpotent Lie-Yamaguti algebras, -dimensional nilpotent Bol algebras, and -dimensional nilpotent compatible Lie algeb…
Lie affgebra structures on three-dimensional solvable Lie algebras
Kh. R. Berdalova, A. Kh. Khudoyberdiyev
In this work, the complex Lie affgebra structures on three-dimensional solvable Lie algebras are completely determined.
Classification of five-dimensional symmetric Leibniz algebras
Iroda Choriyeva, Abror Khudoyberdiyev
In this paper we give the complete classification of -dimensional complex solvable symmetric Leibniz algebras.
The algebraic and geometric classification of nilpotent binary and mono Leibniz algebras
Kobiljon Abdurasulov, Ivan Kaygorodov, Abror Khudoyberdiyev
This paper is devoted to the complete algebraic and geometric classification of complex -dimensional nilpotent binary Leibniz and -dimensional nilpotent mono Leibniz algebras…
Transposed Poisson structures on Virasoro-type algebras
Ivan Kaygorodov, Abror Khudoyberdiyev, Zarina Shermatova
We compute -derivations on the deformed generalized Heisenberg-Virasoro algebras and on not-finitely graded Heisenberg-Virasoro algebras , $\widetild…