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

Details Young wall realization of crystal graphs for U_q(C_n^{(1)}) Young wall realization of crystal graphs for U_q(C_n^{(1)})

2002-07-31

arxiv.org/abs/math/0207293v1

Mathematics

Quantum Algebra

Scientific paper

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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