Title
Crystal Structure on Rigged Configurations and the Filling Map.
Abstract
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
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 Schilling1176.74
Travis Scrimshaw210.41