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Monomial realization of crystal bases for special linear Lie algebras

Cited 21 time in Web of Science Cited 21 time in Scopus
Authors
Kang, Seok-Jin; Kim, Jeong-Ah; Shin, Dong-Uy
Issue Date
2004-04-15
Publisher
Elsevier
Citation
J. Algebra 274 (2004) 629-642.
Keywords
crystal basesmonomial realizationtableau realization
Abstract
We give a new realization of crystal bases for finite-dimensional irreducible modules over special linear Lie algebras using the monomials introduced by H. Nakajima. We also discuss the connection between this monomial realization and the tableau realization given by Kashiwara and Nakashima.
ISSN
0021-8693
Language
English
URI
http://hdl.handle.net/10371/12153
DOI
https://doi.org/10.1016/j.jalgebra.2003.08.001
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Journal Papers (저널논문_수리과학부)
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