45 citations · 251 across the 75 of their papers we have counts for
83 papers
Structure theory of finite solvable Lie conformal algebras
Bakhrom Omirov, Yuhui Tan
We develop a structure theory of finite solvable Lie conformal algebras. It is proved that every such algebra admits a Cartan subalgebra, and any two Cartan subalgebras are conjuga…
The Pozhidaev and Cantarini--Kac Constructions of Simple -Lie Algebras: Distinctions and Realizations
Xinru Cao, Bakhrom A. Omirov, Yuhui Tan
Let , let be any additive subgroup spanning , and let . We study Pozhidaev's central simple -Lie algebra $P(H,t)=\wi…
On Lie Algebras with Only Inner Derivations
Bakhrom Omirov, Jie Ruan
This paper is devoted to the study of non-semisimple Lie algebras of the form whose derivations are all inner. By generalizing the m…
Poisson -Lie algebras: constructions and the structure of solvable algebras
Xinru Cao, Zafar Normatov, Bakhrom Omirov
In this paper, we develop a construction of Poisson -Lie algebras that generalizes the Jacobian -Lie construction. Using the Grassmann--Plücker relations, we derive necessary…
Solvable compatible Lie algebras with a given nilradical
A. Fernández Ouaridi, R. M. Navarro, B. A. Omirov +1
We extend the classical construction of solvable Lie algebras from a nilradical to compatible Lie algebras. Since the sum of nilpotent ideals may fail to be nilpotent, we replace t…
Irreducible cuspidal modules of simple -Lie algebras
Bakhrom Omirov, Gulkhayo Solijanova
This work devoted to the description of irreducible cuspidal modules over simple -Lie algebras. Since the description of irreducible modules over -Lie algebra are alrea…