On the combinatorics of crystal graphs, II. The crystal commutor

Lenart, Cristian

doi:10.1090/S0002-9939-07-09244-1

On the combinatorics of crystal graphs, II. The crystal commutor
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Proc. Amer. Math. Soc. 136 (2008), 825-837 Request permission

Abstract:

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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