Zigzag Strip Bundle Realization of B(Lambda(0)) over U-q(C-n((1)))

Title
Zigzag Strip Bundle Realization of B(Lambda(0)) over U-q(C-n((1)))
Author
신동의
Keywords
Zigzag strip bundles; Nakajima monomials; Kashiwara embeddings; Crystals
Issue Date
2016-11
Publisher
SPRINGER
Citation
ALGEBRAS AND REPRESENTATION THEORY, v. 19, NO. 6, Page. 1423-1436
Abstract
Zigzag strip bundles are new combinatorial models realizing the crystals B(infinity) for the quantum affine algebras U-q(g), where g = B-n((1)), D-n((1)), D-n+1((2)), C-n((1)), A(2n-1)((2)), A(2n)((2)). Recently, these models were used to the realization of highest weight crystals except for the highest weight crystal B(Lambda(0)) over the quantum affine algebra U-q(C-n((1))). In this paper, we construct the highest weight crystal B(Lambda(0)) over the quantum affine algebra U-q(C-n((1))) using zigzag strip bundles, which completes the realizations of all highest weight crystals over U-q(g).
URI
https://link.springer.com/article/10.1007%2Fs10468-016-9624-5http://repository.hanyang.ac.kr/handle/20.500.11754/100905
ISSN
1386-923X; 1572-9079
DOI
10.1007/s10468-016-9624-5
Appears in Collections:
COLLEGE OF EDUCATION[S](사범대학) > MATHEMATICS EDUCATION(수학교육과) > Articles
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