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Quantum affine algebras, combinatorics of Young walls, and global bases
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- Authors
- Issue Date
- 2002-09-19
- Publisher
- American Mathematical Society
- Citation
- Electron. Res. Announc. Amer. Math. Soc. 8 (2002), 35-46
- Keywords
- Fock space representation ; quantum affine algebra ; combinatorics of Young walls ; Lascoux-Leclerc-Thibon algorithm
- Abstract
- We construct the Fock space representation of quantum a ne algebras using combinatorics of Young walls. We also show that the crystal
basis of the Fock space representation can be realized as the abstract crystal consisting of proper Young walls. We then generalize Lascoux-Leclerc-Thibon algorithm to obtain an effective algorithm for constructing the global bases of
basic representations.
- ISSN
- 1079-6762
- Language
- English
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