18 citations · 24 across the 9 of their papers we have counts for
9 papers
Cohomological rigidity of conformal Galilei algebras and their central extensions
Abror Khudoyberdiyev, Doston Jumaniyozov
In this paper, we study the second adjoint cohomology of the compexification of the real conformal Galilei algebras \(\mathfrak{cga}_\ell(d,\mathbb{R})\) and their central extensio…
Biderivations of some classes of solvable Leibniz algebras
Bakhtiyor Yusupov, Doston Jumaniyozov, Majidkhon Azizov
In this work, we investigate anti-derivations and biderivation of Leibniz algebras. We describe general form of anti-derivations and biderivations on null-filiform and filiform Lei…
Infinitesmal deformations and central extensions of the -th Schrödinger algebra
Doston Jumaniyozov, Surayyo Sheraliyeva
In this paper we study the second cohomology space for the -th Schrödinger algebra . We prove that the second cohomology space is vanishing for and…
Local derivation on the -th Schr{ö}dinger algebra
Amir Alauadinov, Bakhtiyor Yusupov, Doston Jumaniyozov
This paper is devoted to study local derivations on the -th Schr{ö}dinger algebra We prove that every local derivation on is a derivation.
Local derivations and automorphisms of nilpotent Lie algebra
Abror Khudoyberdiyev, Doston Jumaniyozov
The paper is devoted to the study of local derivations and automorphisms of nilpotent Lie algebras. Namely, we proved that nilpotent Lie algebras with indices of nilpotency and…
The algebraic classification of nilpotent commutative algebras
Doston Jumaniyozov, Ivan Kaygorodov, Abror Khudoyberdiyev
This paper is devoted to the complete algebraic classification of complex -dimensional nilpotent commutative algebras. Our method of classification is based on the standard meth…
The geometric classification of nilpotent commutative -algebras
Doston Jumaniyozov, Ivan Kaygorodov, Abror Khudoyberdiyev
We give a geometric classification of complex -dimensional nilpotent commutative -algebras. The corresponding geometric variety has dimension and decomposes…
The algebraic classification of nilpotent commutative -algebras
Doston Jumaniyozov, Ivan Kaygorodov, Abror Khudoyberdiyev
An algebraic classification of complex -dimensional nilpotent commutative -algebras is given. This classification is based on an algebraic classification of compl…
The algebraic and geometric classification of nilpotent noncommutative Jordan algebras
Doston Jumaniyozov, Ivan Kaygorodov, Abror Khudoyberdiyev
We give algebraic and geometric classifications of complex -dimensional nilpotent noncommutative Jordan algebras. Specifically, we find that, up to isomorphism, there are only $…