Existence of Kirillov-Reshetikhin crystals for nonexceptional types
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Existence of Kirillov-Reshetikhin crystals for nonexceptional types

  • Author(s): Okado, Masato
  • Schilling, Anne
  • et al.

Published Web Location

https://arxiv.org/pdf/0706.2224.pdf
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Abstract

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.

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