Young wall realization of crystal bases for classical Lie algebras

Seok Jin Kang; Jeong Ah Kim; Hyeonmi Lee; Dong Uy Shin

doi:10.1090/S0002-9947-03-03400-7

Young wall realization of crystal bases for classical Lie algebras

Seok Jin Kang, Jeong Ah Kim, Hyeonmi Lee, Dong Uy Shin

Department of Mathematics

Korea Institute for Advanced Study

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

7 Scopus citations

Abstract

In this paper, we give a new realization of crystal bases for finite-dimensional irreducible modules over classical Lie algebras. The basis vectors are parameterized by certain Young walls lying between highest weight and lowest weight vectors.

Original language	English
Pages (from-to)	2349-2378
Number of pages	30
Journal	Transactions of the American Mathematical Society
Volume	356
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9947-03-03400-7
State	Published - Jun 2004

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title = "Young wall realization of crystal bases for classical Lie algebras",

abstract = "In this paper, we give a new realization of crystal bases for finite-dimensional irreducible modules over classical Lie algebras. The basis vectors are parameterized by certain Young walls lying between highest weight and lowest weight vectors.",

author = "Kang, \{Seok Jin\} and Kim, \{Jeong Ah\} and Hyeonmi Lee and Shin, \{Dong Uy\}",

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AU - Shin, Dong Uy

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N2 - In this paper, we give a new realization of crystal bases for finite-dimensional irreducible modules over classical Lie algebras. The basis vectors are parameterized by certain Young walls lying between highest weight and lowest weight vectors.

AB - In this paper, we give a new realization of crystal bases for finite-dimensional irreducible modules over classical Lie algebras. The basis vectors are parameterized by certain Young walls lying between highest weight and lowest weight vectors.

UR - https://www.scopus.com/pages/publications/2442671770

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DO - 10.1090/S0002-9947-03-03400-7

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SN - 0002-9947

VL - 356

SP - 2349

EP - 2378

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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Young wall realization of crystal bases for classical Lie algebras

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