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arxiv: math/0207293 · v1 · pith:CD3XIE45new · submitted 2002-07-31 · 🧮 math.QA

Young wall realization of crystal graphs for U_q(C_n⁽¹⁾)

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keywords crystalgraphsrealizationyoungaffinealgebrabasicblocks
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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.

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