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

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

2011-05-09

arxiv.org/abs/1105.1636v2

Mathematics

Quantum Algebra

16 pages; typos fixed

Scientific paper

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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