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Modified Nakajima monomials and the crystal B(∞)

Cited 16 time in Web of Science Cited 16 time in Scopus
Authors
Kang, Seok-Jin; Kim, Jeong-Ah; Shin, Dong-Uy
Issue Date
2007
Publisher
Elsevier
Citation
J. Algebra 308 (2007) 524-535
Keywords
Crystal basesModified Nakajima monomials
Abstract
In this paper, we give a new realization of the crystal B(∞) using modified Nakajima monomials. For the quantum affine algebras of type A^(1)_n, we give an explicit characterization of the monomials in B(∞), and construct a natural crystal isomorphism between monomial realization and path realization. As a corollary, we obtain a new realization of the crystal B(∞) for the quantum classical algebras of type A_n.
ISSN
0021-8693
Language
English
URI
http://hdl.handle.net/10371/12162
DOI
https://doi.org/10.1016/j.jalgebra.2006.09.022
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Journal Papers (저널논문_수리과학부)
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