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Zigzag strip bundles and crystals.

Authors :
Kim, Jeong-Ah
Shin, Dong-Uy
Source :
Journal of Combinatorial Theory - Series A. Jul2013, Vol. 120 Issue 5, p1087-1115. 29p.
Publication Year :
2013

Abstract

Abstract: We introduce new combinatorial models, called zigzag strip bundles, over quantum affine algebras , and , and show that the sets of all zigzag strip bundles for , and realize the crystal bases of , and , respectively. Further, we discuss the connection between zigzag strip bundle realization, Nakajima monomial realization, and polyhedral realization of the crystal . [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00973165
Volume :
120
Issue :
5
Database :
Academic Search Index
Journal :
Journal of Combinatorial Theory - Series A
Publication Type :
Academic Journal
Accession number :
88978176
Full Text :
https://doi.org/10.1016/j.jcta.2013.02.007