73 citations · 1.5k across the 132 of their papers we have counts for
12 papers · 1 filter
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 $…
Degenerations of Filippov algebras
Ivan Kaygorodov, Yury Volkov
We consider the variety of Filippov (-Lie) algebra structures on an -dimensional vector space. The group acts on it, and we study the orbit closures with respec…
The algebraic and geometric classification of nilpotent terminal algebras
Ivan Kaygorodov, Mykola Khrypchenko, Yury Popov
We give algebraic and geometric classifications of -dimensional complex nilpotent terminal algebras. Specifically, we find that, up to isomorphism, there are one-parameter…
The variety of dual mock-Lie algebras
Luisa M. Camacho, Ivan Kaygorodov, Victor Lopatkin +1
We classify all complex - and -dimensional dual mock-Lie algebras by algebraic and geometric way. Also we find all non-trivial complex -dimensional dual mock-Lie algebras.
Some cohomologically rigid solvable Leibniz algebras
Luisa M. Camacho, Ivan Kaygorodov, Bakhrom Omirov +1
In this paper we describe solvable Leibniz algebras whose quotient algebra by one-dimensional ideal is a Lie algebra with rank equal to the length of the characteristic sequence of…
Degenerations of nilpotent associative commutative algebras
Ivan Kaygorodov, Samuel A. Lopes, Yury Popov
We give a complete description of degenerations of complex -dimensional nilpotent associative commutative algebras.
The geometric classification of nilpotent Tortkara algebras
Ilya Gorshkov, Ivan Kaygorodov, Mykola Khrypchenko
We give a geometric classification of all -dimensional nilpotent Tortkara algebras over
Degenerations of nilpotent algebras
Amir Fernández Ouaridi, Ivan Kaygorodov, Mykola Khrypchenko +1
We give a complete description of degenerations of -dimensional nilpotent algebras, -dimensional nilpotent commutative algebras and -dimensional nilpotent anticommutative…
The algebraic classification of nilpotent Tortkara algebras
Ilya Gorshkov, Ivan Kaygorodov, Mykola Khrypchenko
We classify all -dimensional nilpotent Tortkara algebras over
The algebraic and geometric classification of nilpotent binary Lie algebras
Hani Abdelwahab, Antonio Jesús Calderón, Ivan Kaygorodov
The paper is devoted to give the complete algebraic classification of nilpotent binary Lie algebras of dimension over an arbitrary base field of characteris…
The algebraic and geometric classification of nilpotent bicommutative algebras
Ivan Kaygorodov, María Pilar Paez Guillán, Vasily Voronin
We classify the -dimensional nilpotent bicommutative algebras over from both algebraic and geometric approaches.
Generalized Derivations of n-BiHom-Lie algebras
Amine Ben Abdeljelil, Mohamed Elhamdadi, Ivan Kaygorodov +1
We investigate generalized derivations of -BiHom-Lie algebras. We introduce and study properties of derivations, -derivations and generalized derivations. We al…