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

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초록

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).

키워드

CrystalsZigzag strip bundles17B3781R50MONOMIAL REALIZATIONNAKAJIMA MONOMIALSPOLYHEDRAL REALIZATIONSQ-ANALOGBASES
제목
ZIGZAG STRIP BUNDLES AND THE CRYSTAL B(infinity) FOR QUANTUM AFFINE ALGEBRAS
저자
Kim, Jeong-AhShin, Dong-Uy
DOI
10.1080/00927872.2014.881835
발행일
2015-02
유형
Article
저널명
Communications in Algebra
43
5
페이지
1983 ~ 2004