Relationships Between Two Approaches: Rigged Configurations and 10-Eliminations
Quantum Algebra
2009-07-09 v2 Mathematical Physics
math.MP
Abstract
There are two distinct approaches to the study of initial value problem of the periodic box-ball systems. One way is the rigged configuration approach due to Kuniba--Takagi--Takenouchi and another way is the 10-elimination approach due to Mada--Idzumi--Tokihiro. In this paper, we describe precisely interrelations between these two approaches.
Cite
@article{arxiv.0902.2286,
title = {Relationships Between Two Approaches: Rigged Configurations and 10-Eliminations},
author = {Anatol N. Kirillov and Reiho Sakamoto},
journal= {arXiv preprint arXiv:0902.2286},
year = {2009}
}
Comments
16 pages, final version, minor revision