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Zigzag strip bundles and crystals

Title
Zigzag strip bundles and crystals
Author
신동의
Keywords
Zigzag strip bundles; Nakajima monomials; Kashiwara embeddings; Crystals
Issue Date
2013-03
Publisher
Elsevier
Citation
Journal of combinatorial theory. Series A, 120, 5, 1087 - 1115
Abstract
We introduce new combinatorial models, called zigzag strip bundles, over quantum affine algebras , and , and show that the sets of all zigzag strip bundles for , and realize the crystal bases of , and , respectively. Further, we discuss the connection between zigzag strip bundle realization, Nakajima monomial realization, and polyhedral realization of the crystal .
URI
https://www.sciencedirect.com/science/article/pii/S0097316513000423?via%3Dihubhttp://hdl.handle.net/20.500.11754/44266
ISSN
0097-3165
DOI
10.1016/j.jcta.2013.02.007
Appears in Collections:
COLLEGE OF EDUCATION[S](사범대학) > MATHEMATICS EDUCATION(수학교육과) > Articles
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