The next meeting of the Algebra and Logic Seminar will be held online via Zoom on **March 22, 2024** (Friday) **at 1:00 pm **(UTC+2).

A talk on:

_{On the uniqueness of maximal solvable extensions of nilpotent Lie algebras}

_{On the uniqueness of maximal solvable extensions of nilpotent Lie algebras}

will be delivered by

**Bakhrom A. Omirov (Harbin Institute of Technologies, Harbin, China and Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Uzbekistan).**

**Abstract.**During the talk it will be shown that under certain condition an arbitrary complex finite-dimensional maximal extension of a nilpotent Lie algebra *N* is isomorphic to the semidirect sum of *N* and its maximal torus. A criterion of the completeness for a finite-dimensional solvable Lie algebra is established. Comparisons with some existing results will also be discussed.

Link to the Zoom room:

https://us02web.zoom.us/j/

Algebra and Logic Department, IMI – BAS

http://www.math.bas.bg/algebra/seminarAiL/

============================== =====================