Combinatorics of $A_2$-crystals

Details Combinatorics of $A_2$-crystals Combinatorics of $A_2$-crystals

2006-04-14

arxiv.org/abs/math/0604333v1

J. of Algebra, 310, 2007, 218-234

Mathematics

Representation Theory

21 pages, 7 fugures, 8 bibl

Scientific paper

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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