Fock space representations for the quantum affine algebra $U_q(C_2^{(1)})$

Mathematics – Quantum Algebra

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Scientific paper

We construct the Fock space representations for the quantum affine algebra of
type $C_2^{(1)}$ in terms of Young walls. Using this construction, we give a
generalized Lascoux-Leclerc-Thibon algorithm for computing the global bases of
the basic representations.

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