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arxiv: math/0604333 · v1 · pith:HZMQPUJSnew · submitted 2006-04-14 · 🧮 math.RT · math.CO

Combinatorics of A₂-crystals

classification 🧮 math.RT math.CO
keywords crystalaspectscertaincombinatoricsconnectedcrystalsdiscussedextensions
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We show that a connected regular $A_2$-crystal (the crystal graph of an irreducible representation of $sl_3$) 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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