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(2001 / vol.4 / no.1)
Crystal Graphs for Basic Representations of Quantum Affine Algebras
Seok-Jin Kang
Pages. 1-8     



We give a realization of crystal graphs for basic representations
of quantum affine algebras in terms of new combinatorial objects
called the Young walls.



1. Introduction
2. The quantum affine algebra $U_q(C_2^{(1)})$ and crystal bases
3. The Young walls
4. The crystal structure



quantum groups, crystal bases, Young walls mathematics



17B65, 17B70