Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection

Details Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection

2006-01-26

arxiv.org/abs/math/0601630v1

Nucl.Phys.B740:299-327,2006

Mathematics

Quantum Algebra

28 pages

Scientific paper

10.1016/j.nuclphysb.2006.02.005

The Kerov-Kirillov-Reshetikhin (KKR) bijection is the crux in proving fermionic formulas. It is defined by a combinatorial algorithm on rigged configurations and highest paths. We reformulate the KKR bijection as a vertex operator by purely using combinatorial R in crystal base theory. The result is viewed as a nested Bethe ansatz at q=0 as well as the direct and the inverse scattering (Gel'fand-Levitan) map in the associated soliton cellular automaton.

Affiliated with

Also associated with

No associations

Rating

Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection 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 Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-171214