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arxiv: 1302.4562 · v3 · pith:FDFISODAnew · submitted 2013-02-19 · 🧮 math.QA

Rigged Configurations and Kashiwara Operators

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keywords riggedconfigurationskashiwaraoperatorsarbitrarybijectionclassicalconfiguration
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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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