arXiv subjects

Kh. A. Khalkulova

Publications and source records attributed to Kh. A. Khalkulova.

2 recordsLinked to original sources

arXiv2019

On Leibniz superalgebras which even part is sl_2

This article deals with a Leibniz superalgebras $L=L_0\oplus L_1,$ whose even part is a simple Lie algebra $\mathfrak{sl}_2$. We describe all such Leibniz superalgebras when odd part is an irreducible Leibniz bi-module on $\mathfrak{sl}_2 $. We show that there exist such Leibniz superalgebras with nontrivial odd part only in case of $dim L_1=2.$

math.RA↗

arXiv2018

Solvable Leibniz algebras with quasi-filiform Lie algebras of maximum length nilradicals

In this paper solvable Leibniz algebras whose nilradical is quasi-filiform Lie algebra of maximum length, are classified. The rigidity of such Leibniz algebras with two-dimensional complemented space to nilradical is proved.

math.RA↗