Young Wall Realization of Crystal Graphs for U q (C n (1) ) |
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| Authors: | Hong Jin Kang Seok-Jin Lee Hyeonmi |
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| Institution: | (1) National Security Research Institute, 1, 61 Gajeong-Dong Yuseong-Gu, Daejeon, 305-350, Korea;(2) Korea Institute for Advanced Study, 207-43 Cheongryangri-dong, Dongdaemun-Gu, Seoul, 130-722, Korea |
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| Abstract: | We give a realization of crystal graphs for basic representations of the quantum affine algebra U
q
(C
n
(1)
) using combinatorics of Young walls. The notion of splitting blocks plays a crucial role in the construction of crystal graphs.
This work was supported by KOSEF Grant #98-0701-01-5-L and the Young Scientist Award, Korean Academy of Science and Technology.
This work was supported by BK21 Project, Mathematical Sciences Division, Seoul National University. |
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