Affine structures and a tableau model for E_6 crystals

Details Affine structures and a tableau model for E_6 crystals Affine structures and a tableau model for E_6 crystals

2009-09-14

arxiv.org/abs/0909.2442v2

J. Algebra 324 (2010) 2512-2542

Mathematics

Combinatorics

28 pages

Scientific paper

10.1016/j.jalgebra.2010.07.041

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 \geq 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.

Affiliated with

Also associated with

No associations

Rating

Affine structures and a tableau model for E_6 crystals does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Affine structures and a tableau model for E_6 crystals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Affine structures and a tableau model for E_6 crystals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-563613