Given any finite-dimensional simple Lie algebra a over $\mathbb{C}$, the Yangian $\operatorname{Y}(\mathfrak{g})$ is a certain unital associative $\mathbb{C}$-algebra. In particular, Yangians form a family of so-called quantum groups. The main property these algebras is the foundational fact that their representations produce rational solutions to the quantum Yang-Baxter equation. The structure and representation theory of Yangians has become a study in and of itself and has expanded to the study of super Yangians based on Lie superalgebras; however, the theory of super Yangians is comparatively less developed than its non-super counterpart. In this talk, we will survey what recent advancements have been made in the study of super Yangians and view what else remains to do.

Date

May 12, 2022 4:00 PM

Location

University of Saskatchewan

Saskatoon, Saskatchewan, Canada