Combinatorial R-matrices for Kirillov--Reshetikhin crystals of type D^{(1)}_n, B^{(1)}_n, A^{(2)}_{2n-1}

Details Combinatorial R-matrices for Kirillov--Reshetikhin crystals of type D^{(1)}_n, B^{(1)}_n, A^{(2)}_{2n-1} Combinatorial R-matrices for Kirillov--Reshetikhin crystals of type D^{(1)}_n, B^{(1)}_n, A^{(2)}_{2n-1}

2009-03-25

arxiv.org/abs/0903.4238v1

International Mathematics Research Notices (2010) 2010:559-593

Mathematics

Quantum Algebra

27 pages

Scientific paper

10.1093/imrn/rnp112

We calculate the image of the combinatorial R-matrix for any classical
highest weight element in the tensor product of Kirillov--Reshetikhin crystals
$B^{r,k}\otimes B^{1,l}$ of type $D^{(1)}_n, B^{(1)}_n, A^{(2)}_{2n-1}$. The
notion of $\pm$-diagrams is effectively used for the identification of
classical highest weight elements in $B^{1,l}\otimes B^{r,k}$.

Affiliated with

Also associated with

No associations

Rating

Combinatorial R-matrices for Kirillov--Reshetikhin crystals of type D^{(1)}_n, B^{(1)}_n, A^{(2)}_{2n-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 Combinatorial R-matrices for Kirillov--Reshetikhin crystals of type D^{(1)}_n, B^{(1)}_n, A^{(2)}_{2n-1}, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Combinatorial R-matrices for Kirillov--Reshetikhin crystals of type D^{(1)}_n, B^{(1)}_n, A^{(2)}_{2n-1} will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-67869