Perfectness of Kirillov―Reshetikhin crystals for nonexceptional types

Abstract

For nonexceptional types, we prove a conjecture of Hatayama et al. about the prefectness of Kirillov―Reshetikhin crystals.

Keywords

• perfectness
• crystal bases
• combinatorial models for kirillov―reshetikhin crystals
• [math.math-co] mathematics [math]/combinatorics [math.co]
• [info.info-dm] computer science [cs]/discrete mathematics [cs.dm]