2002/08/27 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/0208204
70 pages
arxiv created 2002/08/27 · openalex publication_date 2002/08/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 representations can be realized as the abstract crystal consisting of proper Young walls. Finally, we give a generalized version of Lascoux-Leclerc-Thibon algorithm for computing the global bases of the basic representations of classical quantum affine algebras.