5 papers · 1 filter
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…
Cohomological rigidity of solvable Lie algebras of maximal ran
B. A. Omirov, G. O. Solijanova, G. Kh. Urazmatov
We study the second cohomology group with coefficients in the adjoint module for a class of solvable Lie algebras that arise as maximal solvable extensi…
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…
Infinite dimensional analogues of nilpotent and solvable Lie algebras
F. H. Haydarov, B. A. Omirov, G. O. Solijanova
We study infinite-dimensional analogues of nilpotent and solvable Lie algebras, focusing on the classes of pro-nilpotent, residually nilpotent, pro-solvable and residually solvable…