Abstract | ||
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In this paper, we extend work of the first author on a crystal structure on rigged configurations of simply-laced type to all non-exceptional affine types using the technology of virtual rigged configurations and crystals. Under the bijection between rigged configurations and tensor products of Kirillov-Reshetikhin crystals specialized to a single tensor factor, we obtain a new tableaux model for Kirillov Reshetikhin crystals. This is related to the model in terms of Kashiwara-Nakashima tableaux via a filling map, generalizing the recently discovered filling map in type D-n((1)). |
Year | Venue | Keywords |
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2015 | ELECTRONIC JOURNAL OF COMBINATORICS | crystals |
Field | DocType | Volume |
Affine transformation,Tensor product,Combinatorics,Bijection,Tensor,Generalization,Crystal,Crystal structure,Mathematics | Journal | 22 |
Issue | ISSN | Citations |
1.0 | 1077-8926 | 1 |
PageRank | References | Authors |
0.41 | 2 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Anne Schilling | 1 | 17 | 6.74 |
Travis Scrimshaw | 2 | 1 | 0.41 |