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arxiv: math/0611444 · v2 · submitted 2006-11-14 · 🧮 math.RT · math.QA

On the Combinatorics of Crystal Graphs, II. The Crystal Commutator

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keywords crystalrealizationcategorycertaincombinatorialcombinatoricscommutatorcommutor
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We present an explicit combinatorial realization of the commutor in the category of crystals which was first studied by Henriques and Kamnitzer. Our realization is based on certain local moves defined by van Leeuwen.

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