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arXiv:math/0604333 [math.RT]AbstractReferencesReviewsResources

Combinatorics of $A_2$-crystals

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

Published 2006-04-14Version 1

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.

Comments: 21 pages, 7 fugures, 8 bibl
Journal: J. of Algebra, 310, 2007, 218-234
Categories: math.RT, math.CO
Subjects: 17B37, 05C75, 05E99
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