Algebras visualized and applied | Register | Recording
2024-02-27 (Noon Eastern)
Abstract
The word algebra is associated with many terms, including abstract algebra. Yet realizing particular examples of algebraic objects is possible using visual aids. In this talk, we discuss root and weight diagrams of Lie (super)algebras and their representations. It’s conjectured that such diagrams have use in generating network topologies—see the Spring 2024 FRACTALS Fellow Series!
Activity Outcomes (bring paper/tablet etc…)
- Construct the root system for the Lie algebra $\mathfrak{sp}(4)$
- Use Desmos to graph the weight diagram for the natural representation $\mathbb{C}^{1|4}$ of the Lie superalgebra $\mathfrak{osp}(1|4)$
- Use Desmos to graph the root system for the Lie superalgebra $\mathfrak{osp}(1|4)$
Bio
Dwight Anderson Williams II is a Tenure-track Assistant Professor in the Department of Mathematics at Morgan State University. Check out his website—you’re already there!