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

Jeong Ah Kim; Dong Uy Shin

doi:10.1063/1.1811791

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

Jeong Ah Kim, Dong Uy Shin

Department of Mathematics

Korea Institute for Advanced Study

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper, we give a realization of crystal bases of the fundamental representations over U_q (C_n⁽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 language	English
Pages (from-to)	4878-4895
Number of pages	18
Journal	Journal of Mathematical Physics
Volume	45
Issue number	12
DOIs	https://doi.org/10.1063/1.1811791
State	Published - Dec 2004

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

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.",

author = "Kim, \{Jeong Ah\} and Shin, \{Dong Uy\}",

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AB - 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.

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

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