Title: Extensions of Solvable Lie and Leibniz Algebras
Speaker: Abror Khudoyberdiyev
Affiliation: V.I. Romanovskiy Institute of Mathematics, Uzbekistan
Time: August 28, 15:00–16:00
Venue: Seminar Room 6, Wu Zhuoqun Building, Jilin University
Abstract:
This talk focuses on extensions of solvable Lie algebras. The central extension method is primarily used for classifying nilpotent algebras. In 1979, T. Sund generalized this method for solvable Lie algebras. We explore extensions of solvable Lie algebras with naturally graded filiform nilradicals. Furthermore, we extend this approach to solvable Leibniz algebras and identify extensions of solvable Lie algebras with null-filiform and filiform nilradicals.
Speaker’s Biography:
Abror Khudoyberdiyev is the Deputy Director of the V.I. Romanovskiy Institute of Mathematics and a Professor at the National University of Uzbekistan. His research covers non-associative algebras, superalgebras, n-ary algebras, Lie algebras, Leibniz algebras, Zinbiel algebras, evolution algebras, Poisson algebras, structure theory of algebras, deformations, cohomology, and linear maps. Professor Khudoyberdiyev has authored over 70 scientific papers and three books.
