KKR type bijection for the exceptional affine algebra E_6^{(1)}
Quantum Algebra
2011-06-13 v2 Combinatorics
Abstract
For the exceptional affine type E_6^{(1)} we establish a statistic-preserving bijection between the highest weight paths consisting of the simplest Kirillov-Reshetikhin crystal and the rigged configurations. The algorithm only uses the structure of the crystal graph, hence could also be applied to other exceptional types.
Keywords
Cite
@article{arxiv.1105.1636,
title = {KKR type bijection for the exceptional affine algebra E_6^{(1)}},
author = {Masato Okado and Nobumasa Sano},
journal= {arXiv preprint arXiv:1105.1636},
year = {2011}
}
Comments
16 pages; typos fixed