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Quantum affine algebras, combinatorics of Young walls, and global bases

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Authors
Kang, Seok-Jin; Kwon, Jae-Hoon
Issue Date
2002-09-19
Publisher
American Mathematical Society
Citation
Electron. Res. Announc. Amer. Math. Soc. 8 (2002), 35-46
Keywords
Fock space representationquantum affine algebracombinatorics of Young wallsLascoux-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
URI
https://hdl.handle.net/10371/12149
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Journal Papers (저널논문_수리과학부)
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