報告題目：Weak Leibniz algebras and transposed Poisson algebras
報 告 人：Askar Jumadildayev
所在單位：Kazakh-British Technical University
報告時間：2022年10月28日 14:00-15:00
報告地點：ZOOM ID：862 062 0549，Code：2022
會議鍊接：https://us02web.zoom.us/j/8620620549?pwd=bGhsaG15WjRza2V3ZEN4TzJYZ1FZQT09
報告摘要：Weak Leibniz algebras are defined by the following identities: $[a,b]c=2(a(bc)-b(ac))$ and $a[b,c]=2((ab)c-(ac)b).$ Any two-sided Leibniz algebra, in particular any Lie algebra is weak Leibniz. We show that polarization of any weak Leibniz algebra is transposed Poisson and conversely, depolarization of any transposed Poisson algebra is weak Leibniz. Well known that any simple Leibniz algebra is Lie. We construct simple weak Leibniz algebras that are not Lie.
報告人簡介：Askar Jumadildayev is a professor of Kazakh-British Technical University. His research interests concern cohomologies and deformations of Lie algebras, N-commutators of vector fields, identities of non-associative algebras and operads theory.
