ZIGZAG STRIP BUNDLES AND THE CRYSTAL B(infinity) FOR QUANTUM AFFINE ALGEBRAS

Title
ZIGZAG STRIP BUNDLES AND THE CRYSTAL B(infinity) FOR QUANTUM AFFINE ALGEBRAS
Authors
신동의
Keywords
Crystals; Zigzag strip bundles; 17B37; 81R50
Issue Date
2015-02
Publisher
TAYLOR & FRANCIS INC
Citation
COMMUNICATIONS IN ALGEBRA, v. 43, NO 5, Page. 1983-2004
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).
URI
http://www.tandfonline.com/doi/full/10.1080/00927872.2014.881835http://hdl.handle.net/20.500.11754/21986
ISSN
0092-7872; 1532-4125
Appears in Collections:
COLLEGE OF EDUCATION[S](사범대학) > MATHEMATICS EDUCATION(수학교육과) > Articles
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