Article ID Journal Published Year Pages File Type
4667361 Advances in Mathematics 2009 37 Pages PDF
Abstract

We provide combinatorial models for all Kirillov–Reshetikhin crystals of nonexceptional type, which were recently shown to exist. For types , , we rely on a previous construction using the Dynkin diagram automorphism which interchanges nodes 0 and 1. For type we use a Dynkin diagram folding and for types , a similarity construction. We also show that for types and the analog of the Dynkin diagram automorphism exists on the level of crystals.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)