Fernando Mendez Mendez (University of Leeds) – An Introduction to Frobenius Lie Algebras

Abstract: In 1968, N. Jacobson proposed the problem of characterizing finite-dimensional Lie algebras that have a primitive universal enveloping algebra. Later, in 1976, A. Ooms demonstrated that these can be characterized exactly as Frobenius Lie algebras. In this talk, I will provide an introduction to this class of Lie algebras. We will discuss their fundamental properties and explore their connections with other algebraic structures, such as contact Lie algebras and pre-Lie structures.