Representation Theory & Combinatorics of the Symmetry Group and Related Structures
With an eye toward coordinating with the advanced course, we will start with the representation theory of the symmetric group and related combinatorics. We will focus on the functors of induction and restriction. We will then consider related algebraic structures such as Hecke algebras. We can use diagrammatics to depict various elements, objects, morphisms, and so on, even in the setting of de-categorification.