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

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.