Strip bundle realization of the crystals over U-q(D-4((3)))

We introduce new combinatorial models called strip bundles for the quantum affine algebra U-q(D-4((3))) and give new realizations of the crystal B(infinity) and the highest weight crystals B(lambda) over Uq(D-4((3))) in terms of strip bundles. In these strip bundle realizations, the highest weight crystal B(A(1)) of the natural representation V(A(1)) over the quantum finite algebra U-q(G(2)) plays a crucial role. Published under an exclusive license by AIP Publishing.