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Crystal bases for quantum classical algebras and Nakajima's monomials

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Authors
Kang, Seok-Jin; Kim, Jeong-Ah; Shin, Dong-Uy
Issue Date
2004
Publisher
Research Institute for Mathematical Sciences, Kyoto University
Citation
Publ. RIMS 40 (2004), 758-791
Keywords
Nakajima’s monomialscrystal basesYoung tableau realization
Abstract
Using Nakajima’s monomials, we construct a new realization of crystal bases for finite dimensional irreducible modules over quantum classical algebras. We also give an explicit bijection between the monomial realization and the Young tableau realization of crystal bases.
ISSN
0034-5318
Language
English
URI
http://hdl.handle.net/10371/12155
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Journal Papers (저널논문_수리과학부)
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