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Monomial realization of crystal bases for special linear Lie algebras

Cited 23 time in Web of Science Cited 23 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
https://hdl.handle.net/10371/12153
DOI
https://doi.org/10.1016/j.jalgebra.2003.08.001
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