Combinatorics of $A_2$-crystals
Representation Theory
2010-11-15 v1 Combinatorics
Abstract
We show that a connected regular -crystal (the crystal graph of an irreducible representation of ) 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.
Keywords
Cite
@article{arxiv.math/0604333,
title = {Combinatorics of $A_2$-crystals},
author = {V. I. Danilov and A. V. Karzanov and G. A. Koshevoy},
journal= {arXiv preprint arXiv:math/0604333},
year = {2010}
}
Comments
21 pages, 7 fugures, 8 bibl