5 papers
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 arising from -Lie algebras of Jacobians and establish conditions under which this construction yields a Pois…
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…
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…
On maximal solvable extensions of nilpotent Lie algebras
Bakhrom Omirov, Gulkhayo Solijanova
In this paper, we provide a complete description of complex maximal solvable extensions for a certain class of nilpotent Lie algebras. In particular, we show that, up to isomorphis…