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

초록

We introduce new combinatorial models called strip bundles for the quantum affine algebra Uq(D4(3)) and give new realizations of the crystal B(∞) and the highest weight crystals B(λ) over Uq(D4(3)) in terms of strip bundles. In these strip bundle realizations, the highest weight crystal B(Λ1) of the natural representation V(Λ1) over the quantum finite algebra Uq(G2) plays a crucial role.

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