A crystal theoretic method for finding rigged configurations from paths
Quantum Algebra
2008-08-04 v2 Mathematical Physics
math.MP
Abstract
The Kerov--Kirillov--Reshetikhin (KKR) bijection gives one to one correspondences between the set of highest paths and the set of rigged configurations. In this paper, we give a crystal theoretic reformulation of the KKR map from the paths to rigged configurations, using the combinatorial R and energy functions. This formalism provides tool for analysis of the periodic box-ball systems.
Keywords
Cite
@article{arxiv.0708.3544,
title = {A crystal theoretic method for finding rigged configurations from paths},
author = {Reiho Sakamoto},
journal= {arXiv preprint arXiv:0708.3544},
year = {2008}
}
Comments
24 pages, version for publication