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

Cristian Lenart
Proceedings of the American Mathematical Society
Vol. 136, No. 3 (Mar., 2008), pp. 825-837
Stable URL: http://www.jstor.org/stable/20535241
Page Count: 13
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On the Combinatorics of Crystal Graphs, II. The Crystal Commutor
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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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