Demazure structure inside Kirillov-Reshetikhin crystals

Details Demazure structure inside Kirillov-Reshetikhin crystals Demazure structure inside Kirillov-Reshetikhin crystals

2006-05-16

arxiv.org/abs/math/0605451v1

J.Algebra309:386-404,2007

Mathematics

Quantum Algebra

17 pages

Scientific paper

10.1016/j.jalgebra.2006.09.019

The conjecturally perfect Kirillov-Reshetikhin (KR) crystals are known to be isomorphic as classical crystals to certain Demazure subcrystals of crystal graphs of irreducible highest weight modules over affine algebras. Under some assumptions we show that the classical isomorphism from the Demazure crystal to the KR crystal, sends zero arrows to zero arrows. This implies that the affine crystal structure on these KR crystals is unique.

Affiliated with

Also associated with

No associations

Rating

Demazure structure inside Kirillov-Reshetikhin 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 Demazure structure inside Kirillov-Reshetikhin crystals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Demazure structure inside Kirillov-Reshetikhin crystals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-276089