Abstract
The action of the affine Weyl group of type A n on its coroot lattice is classically modeled using n -cores, which are integer partitions with no hooks of length n . Exploiting an identification between the coroot lattices of types G 2 and A 2 , we use 3 -cores to give a combinatorial model for the action of the affine Weyl group W ˜ ( G 2 ) on its coroot lattice.
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