Existence of Kirillov-Reshetikhin crystals for nonexceptional types
Quantum Algebra
2008-11-26 v4 Representation Theory
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.
Keywords
Cite
@article{arxiv.0706.2224,
title = {Existence of Kirillov-Reshetikhin crystals for nonexceptional types},
author = {Masato Okado and Anne Schilling},
journal= {arXiv preprint arXiv:0706.2224},
year = {2008}
}
Comments
23 pages; version that appeared in Representation Theory and erratum added