Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

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

Author(s): Cristian Lenart
Journal: Proc. Amer. Math. Soc. 136 (2008), 825-837.
MSC (2000): Primary 20G42; Secondary 17B10, 22E46
Posted: November 30, 2007
MathSciNet review: 2361854
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Abstract | References | Similar articles | Additional information

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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