We study the crystal of quantum nilpotent subalgebra of UqpDnq associated to a maximal Levi subalgebra of type An´1. We show that it has an affine crystal structure of type D p1q n isomorphic to a limit of perfect Kirillov-Reshetikhin crystal B n,s for s ě 1, and give a new polytope realization of B n,s . We show that an analogue of RSK correspondence for type D due to Burge is an isomorphism of affine crystals and give a generalization of Greene's formula for type D.

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In this paper, we investigate the behavior of monomials in the q-characters of the fundamental modules over a quantum affine algebra of untwisted type C. As a result, we give simple closed formulae for the q-characters of the fundamental modules in terms of sequences of vertices in R 2 , so-called paths, with an admissible condition, which may be viewed as a type C analog of the path description of q-characters in types A and B due to Mukhin-Young.