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

Title
NAKAJIMA MONOMIALS, STRIP BUNDLES, AND THE CRYSTALS B(infinity) OVER U-q(B-infinity), U-q(C-infinity), AND U-q(D-infinity)
Author
신동의
Keywords
Crystals; Nakajima monomials; Strip bundles
Issue Date
2012-06
Publisher
TAYLOR & FRANCIS INC, 325 CHESTNUT ST, SUITE 800, PHILADELPHIA, PA 19106 USA
Citation
COMMUNICATIONS IN ALGEBRA, 40, 2, 697-718
Abstract
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.
URI
http://www.tandfonline.com/doi/abs/10.1080/00927872.2010.536190http://hdl.handle.net/20.500.11754/40188
ISSN
0092-7872
DOI
10.1080/00927872.2010.536190
Appears in Collections:
COLLEGE OF EDUCATION[S](사범대학) > MATHEMATICS EDUCATION(수학교육과) > Articles
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