PERFECT CRYSTALS FOR THE QUANTUM AFFINEALGEBRA U_q(C_n~(1))

摘要

In this paper, we give an explicit isomorphism between the adjoint crystal given in Ref. 13 and the Kirillov-Reshetikhin crystals B~(1,2l) presented in Ref. 2 for C_1~(1). Consequently we have a complete proof of perfectness of the crystals In the sequel we also present an explicit description of the involution a given in Ref. 2 for this special case.