Some remarks on A_1^{(1)} soliton cellular automata
Quantum Algebra
2007-05-23 v1
Abstract
In this short note, we describe the A_1^{(1)} soliton cellular automata as an evolution of a poset. This allows us to explain the conservation laws for the A_1^{(1)} soliton cellular automata, one given by Torii, Takahashi and Satsuma, and the other given by Fukuda, Okado and Yamada, in terms of the stack permutations of states in a very natural manner. As a biproduct, we can prove a conjectured formula relating these laws.
Cite
@article{arxiv.math/0008091,
title = {Some remarks on A_1^{(1)} soliton cellular automata},
author = {Susumu Ariki},
journal= {arXiv preprint arXiv:math/0008091},
year = {2007}
}
Comments
10 pages, LaTeX2e