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ZIGZAG STRIP BUNDLES AND THE CRYSTAL B(infinity) FOR QUANTUM AFFINE ALGEBRAS
- Authors
- Kim, Jeong-Ah; Shin, Dong-Uy
- Issue Date
- Feb-2015
- Publisher
- TAYLOR & FRANCIS INC
- Keywords
- Crystals; Zigzag strip bundles; 17B37; 81R50
- Citation
- COMMUNICATIONS IN ALGEBRA, v.43, no.5, pp.1983 - 2004
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMMUNICATIONS IN ALGEBRA
- Volume
- 43
- Number
- 5
- Start Page
- 1983
- End Page
- 2004
- ISSN
- 0092-7872
- Abstract
- We give a new realization of the crystal B(infinity) of U-q(-)(g) (g = C-n((1)), A(2n)((2)), or A(2n-1)((2))) using the combinatorial objects zigzag strip bundles. Moreover, we study the relation between zigzag strip bundle realization, Nakajima monomial realization, and polyhedral realization of B(infinity).
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Related Researcher
- Shin, Dong Uy
- COLLEGE OF EDUCATION (DEPARTMENT OF MATHEMATICS EDUCATION)