Rigged Configurations and Kashiwara Operators

preprint2014arXivOpen access

For types $A^{(1)}_n$ and $D^{(1)}_n$ we prove that the rigged configuration bijection intertwines the classical Kashiwara operators on tensor products of the arbitrary Kirillov-Reshetikhin crystals and the set of the rigged configurations.

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Rigged Configurations and Kashiwara Operators

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