Zigzag strip bundles and highest weight crystals

Title
Zigzag strip bundles and highest weight crystals
Author
신동의
Keywords
Zigzag strip bundles; Nakajima monomials; Kashiwara embeddings; Crystals
Issue Date
2014-06
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Citation
JOURNAL OF ALGEBRA, 412, p.15-50
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). (C) 2014 Elsevier Inc. All rights reserved.
URI
http://www.sciencedirect.com/science/article/pii/S0021869314002427?via%3Dihubhttp://hdl.handle.net/20.500.11754/54716
ISSN
0021-8693; 1090-266X
DOI
10.1016/j.jalgebra.2014.04.016
Appears in Collections:
COLLEGE OF EDUCATION[S](사범대학) > MATHEMATICS EDUCATION(수학교육과) > Articles
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