43 citations · 141 across the 44 of their papers we have counts for
5 papers · 2 filters
Transposed Poisson structures on solvable and perfect Lie algebras
Ivan Kaygorodov, Abror Khudoyberdiyev
We described all transposed Poisson algebra structures on oscillator Lie algebras, i.e., on one-dimensional solvable extensions of the -dimensional Heisenberg algebra; on s…
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…
The algebraic and geometric classification of nilpotent Leibniz algebras
Kobiljon Abdurasulov, Ivan Kaygorodov, Abror Khudoyberdiyev
This paper is devoted to the complete algebraic and geometric classification of complex -dimensional nilpotent Leibniz algebras. In particular, the variety of complex -dimens…
Transposed Poisson structures on Schrodinger algebra in (n+1)-dimensional space-time
Yang Yang, Xiaomin Tang, Abror Khudoyberdiyev
Transposed Poisson structures on the Schrödinger algebra in -dimensional space-time of Schrödinger Lie groups are described. It was proven that the Schrödinger algebra $\mat…
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.