NAKAJIMA MONOMIALS, STRIP BUNDLES, AND THE CRYSTALS B(infinity) OVER U-q(B-infinity), U-q(C-infinity), AND U-q(D-infinity)

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초록

In this article, we give two new realizations of the crystal base B(infinity) of the negative part U-q(-)(g) of the quantum generalized Kac-Moody algebra U-q(g) (g = B-infinity, C-infinity or D-infinity) using Nakajima monomials and strip bundles, respectively. Furthermore, we discuss the relation between monomial realization and strip bundle realization.

키워드

CrystalsNakajima monomialsStrip bundlesKAC-MOODY ALGEBRASUNIVERSAL ENVELOPING-ALGEBRASPOLYHEDRAL REALIZATIONQ-ANALOGBASES
제목
NAKAJIMA MONOMIALS, STRIP BUNDLES, AND THE CRYSTALS B(infinity) OVER U-q(B-infinity), U-q(C-infinity), AND U-q(D-infinity)
저자
Kim, Jeong-AhShin, Dong-Uy
DOI
10.1080/00927872.2010.536190
발행일
2012-02
유형
Article
저널명
Communications in Algebra
40
2
페이지
697 ~ 718