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 - Lee, Hyeonmi

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

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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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