Textbook in PDF format
Preface
Introduction
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
Bibliography
Index