In this talk, extensions of solvable Lie algebras are considered. The method of central extension is mostly used to obtain a classification of nilpotent algebras. This method was generalized for the solvable Lie algebras by T. Sund in 1979. We investigate extensions of solvable Lie algebras with naturally graded filiform nilradicals. Moreover, we generalize this method for the solvable Leibniz algebras and find extensions of solvable Lie algebras with null-filiform and filiform nilradicals.
Date and Venue
Start Date
Venue
FC1 (room TBC)
End Date
Speaker
Abror Khudoyberdiyev
Speaker's Institution
Institute of Mathematics, Uzbekistan
Files
Abror_Khudoyberdiyev.pdf310.37 KB
Area
Algebra, Combinatorics and Number Theory