Zigzag Strip Bundle Realization of B(Lambda(0)) over U-q(C-n((1)))

Abstract

Zigzag strip bundles are new combinatorial models realizing the crystals B(infinity) for the quantum affine algebras U-q(g), where g = B-n((1)), D-n((1)), D-n+1((2)), C-n((1)), A(2n-1)((2)), A(2n)((2)). Recently, these models were used to the realization of highest weight crystals except for the highest weight crystal B(Lambda(0)) over the quantum affine algebra U-q(C-n((1))). In this paper, we construct the highest weight crystal B(Lambda(0)) over the quantum affine algebra U-q(C-n((1))) using zigzag strip bundles, which completes the realizations of all highest weight crystals over U-q(g).