Geodesic
Quantum affine algebras, combinatorics of Young walls, and global bases
Kang, Seok-Jin1 ; Kwon, Jae-Hoon1
1 School of Mathematics, Korea Institute for Advanced Study, Seoul 130-012, Korea
Electronic research announcements of the American Mathematical Society, Tome 08 (2002), pp. 35-46 Cet article a éte moissonné depuis la source American Mathematical Society

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We construct the Fock space representation of quantum affine 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.
DOI : 10.1090/S1079-6762-02-00103-8

Kang, Seok-Jin 1 ; Kwon, Jae-Hoon 1

1 School of Mathematics, Korea Institute for Advanced Study, Seoul 130-012, Korea 
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Kang, Seok-Jin; Kwon, Jae-Hoon. Quantum affine algebras, combinatorics of Young walls, and global bases. Electronic research announcements of the American Mathematical Society, Tome 08 (2002), pp. 35-46. doi: 10.1090/S1079-6762-02-00103-8

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