%0 Journal Article
%T Existence of Kirillov-Reshetikhin crystals for nonexceptional types
%A Masato Okado
%A Anne Schilling
%J Mathematics
%D 2007
%I arXiv
%R 10.1090/S1088-4165-08-00329-4
%X Using the methods of Kang et al. and recent results on the characters of Kirillov-Reshetikhin modules by Nakajima and Hernandez, the existence of Kirillov-Reshetikhin crystals B^{r,s} is established for all nonexceptional affine types. We also prove that the crystals B^{r,s} of type B_n^{(1)}, D_n^{(1)}, and A_{2n-1}^{(2)} are isomorphic to recently constructed combinatorial crystals for r not a spin node.
%U http://arxiv.org/abs/0706.2224v4