Fock space representations for the quantum affine algebra U_q(C₂⁽¹⁾)

2002/10/07 by Seok-Jin Kang, Seok‐Jin Kang, Kang, Seok-Jin +2
Engineering · Mathematics · Physics and Astronomy · #17B37 #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Optical Network Technologies #Quantum Algebra (math.QA) #math.QA #msc:17B37

paper · pdf · doi:10.48550/arxiv.math/0210095

arxiv created 2002/10/07 · openalex publication_date 2002/10/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct the Fock space representations for the quantum affine algebra of type C₂⁽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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