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Representations of Quantum Algebras and Combinatorics of Young Tableaux
About this Title
Susumu Ariki, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan
Publication: University Lecture Series
Publication Year:
2002; Volume 26
ISBNs: 978-0-8218-3232-5 (print); 978-1-4704-1833-5 (online)
DOI: https://doi.org/10.1090/ulect/026
MathSciNet review: MR1911030
MSC: Primary 17B37; Secondary 05E10, 14M15, 17B67, 20C08
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Introduction
- Chapter 2. The Serre relations
- Chapter 3. Kac-Moody Lie algebras
- Chapter 4. Crystal bases of $U_v$-modules
- Chapter 5. The tensor product of crystals
- Chapter 6. Crystal bases of $U_v^-$
- Chapter 7. The canonical basis
- Chapter 8. Existence and uniqueness (part I)
- Chapter 9. Existence and uniqueness (part II)
- Chapter 10. The Hayashi realization
- Chapter 11. Description of the crystal graph of $V(\Lambda )$
- Chapter 12. An overview of the application to Hecke algebras
- Chapter 13. The Hecke algebra of type $G(m,1,n)$
- Chapter 14. The proof of Theorem 12.5
- Chapter 15. Reference guide