Crystal bases for quantum classical algebras and Nakajima's monomials
type: Item
instance of: scholarly article
title: Crystal bases for quantum classical algebras and Nakajima's monomials
zbMATH Open document ID: 1072.17007
author: Seok-Jin Kang
author: Jeong-Ah Kim
author: Dong-Uy Shin
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2005-04-04T00:00:00Z
review text: The authors gave an explicit characterization of the monomials in finite dimensional irreducible modules for quantum classical algebras. They also constructed explicit bijections between the monomial realization, the reverse Young tableau realization and the Kashiwara-Nakajima tableau realization of crystal bases.
reviewed by: Ye Jiachen
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 81R50
zbMATH DE Number: 2151102
zbMATH Keywords: monomials
zbMATH Keywords: crystal bases
zbMATH Keywords: quantum algebras
zbMATH Keywords: Young tableau
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1145475492
OpenAlex ID: W2051876407
cites work: Q4537716
cites work: CRYSTAL BASES FOR QUANTUM AFFINE ALGEBRAS AND COMBINATORICS OF YOUNG WALLS
cites work: Young wall realization of crystal bases for classical Lie algebras
cites work: Monomial realization of crystal bases for special linear Lie algebras
cites work: On crystal bases of the \(q\)-analogue of universal enveloping algebras
cites work: Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
cites work: Insertion Scheme for the Classical Lie Algebras
cites work: Quiver varieties and tensor products
cites work: Q4422486
DOI: 10.2977/PRIMS/1145475492
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description: scientific article; zbMATH DE number 2151102