Abstract
We provide the unique affine crystal structure for type E 6 ( 1 ) Kirillov–Reshetikhin crystals corresponding to the multiples of fundamental weights s Λ 1 , s Λ 2 , and s Λ 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.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Paper version not known
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
