Crystal Bases: Representations and Combinatorics

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Author(s): Daniel Bump, Anne Schilling
Edition: 1
Publisher: World Scientific
Year: 2017

Language: English
Commentary: I know there is a true PDF somewhere but I don't have it

Cover
Title
Preface
Contents
1. Introduction
2. Kashiwara Crystals
3. Crystals of Tableaux
4. Stembridge Crystals
5. Virtual, Fundamental, and Normal Crystals
6. Crystals of Tableaux II
7. Insertion Algorithms
8. The Plactic Monoid
9. Bicrystals and the Littlewood-Richardson Rule
10. Crystals for Stanley Symmetric Functions
11. Patterns and the Weyl Group Action
12. The B_infinity Crystal
13. Demazure Crystals
14. The star-Involution of B_infinity
15. Crystals and Tropical Geometry
16. Further Topics
Appendix A. Schur-Weyl Duality
Appendix B. The Cauchy Correspondence
Bibliography
Index