摘要

We provide the unique affine crystal structure for type E-6((1)) Kirillov-Reshetikhin crystals corresponding to the multiples of fundamental weights s Lambda(1), s Lambda(2), and s Lambda(6) for all s >= 1 (in Bourbaki's labeling of the Dynkin nodes, where 2 is the adjoint node). Our methods introduce a generalized tableaux model for classical highest weight crystals of type E and use the order three automorphism of the affine E-6((1)) Dynkin diagram. In addition, we provide a conjecture for the affine crystal structure of type E-7((1)) Kirillov-Reshetikhin crystals corresponding to the adjoint node.

  • 出版日期2010-11-1