3 papers
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…
math.FA2025
Coupled Ising-Potts Model: Rich Sets of Critical Temperatures and Translation-Invariant Gibbs Measures
F. H. Haydarov, B. A. Omirov, U. A. Rozikov
We consider a coupled Ising-Potts model on Cayley trees of order . This model involves spin vectors , and generalizes both the Ising and Potts models by inco…