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

By Masato Okado and Nobumasa Sano

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.Comment: 16 pages; typos fixe

Topics: Mathematics - Quantum Algebra, Mathematics - Combinatorics, Primary 17B37 82B23 05A19, Secondary 17B25 81R50 81R10 05E10 11B65
Year: 2011
OAI identifier: oai:arXiv.org:1105.1636
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