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Bump D. Crystal Bases. Representations and Combinatorics 2017
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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

Bump D. Crystal Bases. Representations and Combinatorics 2017.pdf23.83 MiB