KKR type bijection for the exceptional affine algebra E_6^{(1)}

preprint2011arXivOpen access

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.

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