Zigzag strip bundles and highest weight crystalsopen access
- Authors
- Kim, Jeong-Ah; Shin, Dong-Uy
- Issue Date
- Aug-2014
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Zigzag strip bundles; Nakajima monomials; Kashiwara embeddings; Crystals
- Citation
- JOURNAL OF ALGEBRA, v.412, pp.15 - 50
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF ALGEBRA
- Volume
- 412
- Start Page
- 15
- End Page
- 50
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/144577
- DOI
- 10.1016/j.jalgebra.2014.04.016
- ISSN
- 0021-8693
- 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)). In this paper, we give new realizations of the crystal bases B(lambda) for the irreducible highest weight modules V(lambda) over quantum affine algebras U-q(g) using zigzag strip bundles. Further, we discuss the connection between zigzag strip bundle realization, Nakajima monomial realization, and polyhedral realization of the crystals B(lambda).
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