Article ID Journal Published Year Pages File Type
4588217 Journal of Algebra 2007 32 Pages PDF
Abstract

A perfect crystal of any level is constructed for the Kirillov–Reshetikhin module of corresponding to the middle vertex of the Dynkin diagram. The actions of Kashiwara operators are given explicitly. It is also shown that this family of perfect crystals is coherent. A uniqueness problem solved in this paper can be applied to other quantum affine algebras.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory