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math.RA2026
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…
math.RA2025
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…