Speaker: Askar Jumadildayev, Kazakh-British Technical University

Time: 14:00-15:00 pm, October 28, 2022, GMT+8

Venue: Zoom Meeting ID: 862 062 0549 Code: 2022

Abstract:

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.

Biography:

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.

Source: SRMC