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

Area

Algebra, Combinatorics and Number Theory