Notes on Crystals
Introduction
Chapter 1:
Crystals and RSK
1.1 Root Systems
1.2 Kashiwara Crystals
1.3 Crystals of Tableaux
1.4 Crystals of Tableaux: Example
1.5 Stembridge Crystals
1.6 Highest Weight Stembridge Crystals
1.7 Subcrystals of $\otimes^k\mathcal{B}$
1.8 RSK
1.9 Dual RSK
1.10 Crystals and RSK
1.11 Levi branching
Chapter 2:
Morse-Schilling Crystals
2.1 Edelman Greene insertion and Morse-Schilling crystals
