Bump D., Schilling A. Crystal Bases: Representations and Combinatorics

Singapore: World Scientific, 2017. — 292 p.Kashiwara Crystals
Crystals of Tableaux
Stembridge Crystals
Virtual, Fundamental, and Normal Crystals
Crystals of Tableaux II
Insertion Algorithms
The Plactic Monoid
Bicrystals and the Littlewood-Richardson Rule
Crystals for Stanley Symmetric Functions
Patterns and the Weyl Group Action
The B_infinity Crystal
Demazure Crystals
The star-Involution of B_infinity
Crystals and Tropical Geometry
Further Topics
Appendix A. Schur-Weyl Duality
Appendix B. The Cauchy Correspondence