Perfect Crystals for Uq(D4(3))
Abstract
A perfect crystal of any level is constructed for the Kirillov-Reshetikhin module of Uq(D4(3)) corresponding to the middle vertex of the Dynkin diagram. The actions of Kashiwara operators are given explicitly. It is also shown that this family of perfect crystals is coherent. A uniqueness problem solved in this paper can be applied to other quantum affine algebras.
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