OPPD: Reference for Crystal Bases
Some reference for crystal bases:
Intro course on crystal bases
Most refered to is book by Hong and Kang, and another one by Bump and Schilling (focusing on combinatorics).
Here is a course: Quantum groups, combinatorics and geometry seminar
Daniel Bump’s website on crystals
Connection of crystals to number theory(?):
- Multiple Dirichlet Series: Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory and Multiple Dirichlet Series, L-functions and Automorphic Forms and Crystals and Multiple Dirichlet Series (powerpoint).
- Whittaker functions: Bump’s wiki webpage
- Overview Crystal constructions in Number Theory
Here is a course: Combinatorial models in Representation Theory