Correspondence between Young walls and Young tableaux and its application

Jeong Ah Kim; Dong Uy Shin

doi:10.1016/j.jalgebra.2004.09.001

Correspondence between Young walls and Young tableaux and its application

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

We give a 1-1 correspondence between the Young wall realization and the Young tableau realization of the crystal bases for the classical Lie algebras. Moreover, as its application, we give an insertion scheme for reduced proper Young walls.

Original language	English
Pages (from-to)	728-757
Number of pages	30
Journal	Journal of Algebra
Volume	282
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2004.09.001
State	Published - 15 Dec 2004

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title = "Correspondence between Young walls and Young tableaux and its application",

abstract = "We give a 1-1 correspondence between the Young wall realization and the Young tableau realization of the crystal bases for the classical Lie algebras. Moreover, as its application, we give an insertion scheme for reduced proper Young walls.",

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AU - Shin, Dong Uy

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AB - We give a 1-1 correspondence between the Young wall realization and the Young tableau realization of the crystal bases for the classical Lie algebras. Moreover, as its application, we give an insertion scheme for reduced proper Young walls.

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DO - 10.1016/j.jalgebra.2004.09.001

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VL - 282

SP - 728

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JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

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Correspondence between Young walls and Young tableaux and its application

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