Crystal Bases: Representations and Combinatorics
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Description
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
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