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Fock space representations for the quantum affine algebra
Seok-Jin Kang, Jae-Hoon Kwon
We construct the Fock space representations for the quantum affine algebra of type in terms of Young walls. Using this construction, we give a generalized Lascoux-Lecle…
Fock space representations of quantum affine algebras and generalized Lascoux-Leclerc-Thibon algorithm
Seok-Jin Kang, Jae-Hoon Kwon
We construct the Fock space representations of classical quantum affine algebras using combinatorics of Young walls. We also show that the crystal graphs of the Fock space represen…
Young wall realization of crystal graphs for U_q(C_n^{(1)})
Jin Hong, Seok-Jin Kang, Hyeonmi Lee
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 pl…
Crystal bases for quantum affine algebras and combinatorics of Young walls
Seok-Jin Kang
In this paper, we give a realization of crystal bases for quantum affine algebras using some new combinatorial objects which we call the Young walls. The Young walls consist of col…