Orthosymplectic Yangians

Abstract

Yangians form one of the two important families of affine quantum groups, alongside the Drinfel’d-Jimbo quantum affine algebras. Given a complex simple Lie algebra or non-exceptional basic Lie superalgebra $\mathfrak{g}$, the Yangian $\operatorname{Y}(\mathfrak{g})$ is a certain Hopf algebra which is a deformation of the universal enveloping algebra $U(\mathfrak{g}[z])$. In this talk, we cover recent advancements made on the structure and representation theory of Yangians based on the orthosymplectic Lie superalgebras.

Bryan W. Kettle

PhD in Mathematics