Kirillov–Reshetikhin crystals for nonexceptional types

详细信息    查看全文

• 作者：Ghislain Fourier ; Masato Okado ; Anne Schilling
• 关键词：Quantum affine algebras ; Crystal bases ; Kirillov&#x2013 ; Reshetikhin modules
• 刊名：Advances in Mathematics
• 出版年：2009
• 出版时间：20 October 2009
• 年：2009
• 卷：222
• 期：3
• 页码：1080-1116
• 全文大小：335 K

文摘

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.