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Combinatorics of A2-crystals

V. I. Danilov, A. V. Karzanov, G. A. Koshevoy

math.RTarXiv:math/0604333

Abstract

We show that a connected regular A2-crystal (the crystal graph of an irreducible representation of sl3) can be produced from two half-grids by replicating them and glying together in a certain way. Also some extensions and related aspects are discussed.

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