Affine crystal structure on rigged configurations of type D_n^(1)

Details Affine crystal structure on rigged configurations of type D_n^(1) Affine crystal structure on rigged configurations of type D_n^(1)

2011-09-16

arxiv.org/abs/1109.3523v1

Mathematics

Quantum Algebra

24 pages, 3 figures

Scientific paper

Extending the work arXiv:math/0509194, we introduce the affine crystal action on rigged configurations which is isomorphic to the Kirillov-Reshetikhin crystal B^{r,s} of type D_n^(1) for any r,s. We also introduce a representation of B^{r,s} (r not equal to n-1,n) using tableaux of rectangular shape r x s, which are obtained from a column splitting procedure that was effectively used for type A to construct a bijection from elements of a tensor product of Kirillov-Reshetikhin crystals to rigged configurations.

Affiliated with

Also associated with

No associations

Rating

Affine crystal structure on rigged configurations of type D_n^(1) 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 crystal structure on rigged configurations of type D_n^(1), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Affine crystal structure on rigged configurations of type D_n^(1) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-534415