Crystal bases and generalized Lascoux-Leclerc-Thibon (LLT) algorithm for the quantum affine algebra Uq (Cn(1))

Jeong Ah Kim, Dong-Uy Shin

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Abstract

In this paper, we give a realization of crystal bases of the fundamental representations over Uq (Cn(1)) in terms of Young diagrams k introduced by Premat. Further, we give a generalized Lascoux-Leclerc-Thibon algorithm for computing the global bases.

Original languageEnglish
Pages (from-to)4878-4895
Number of pages18
JournalJournal of Mathematical Physics
Volume45
Issue number12
DOIs
StatePublished - 2004 Dec 1

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