报告题目：Extensions of solvable Lie and Leibniz algebras

报 告 人： Abror Khudoyberdiyev

所在单位：V.I. Romanovskiy Institute of Mathematics, Uzbekistan

报告时间：August 28, 15:00-16:00

报告地点：脱衣舞-性感脱衣舞-性感衣舞 伍卓群楼第六研讨室

报告摘要: 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.

报告人简介：Abror Khudoyberdiyev serves as Deputy Director of the V.I. Romanovskiy Institute of Mathematics and as a Professor at the National University of Uzbekistan. His research interests include non-associative algebras, superalgebras, n-ary algebras, Lie algebras, Leibniz algebras, Zinbiel algebras, evolution algebras, Poisson algebras, the structure theory of algebras, deformations, cohomology, and linear maps. Professor Khudoyberdiyev is the author of more than 70 scientific papers and three books.