Factorization, reduction and embedding in integrable cellular automata
Cellular Automata and Lattice Gases
2009-11-10 v1 Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
Factorized dynamics in soliton cellular automata with quantum group symmetry is identified with a motion of particles and anti-particles exhibiting pair creation and annihilation. An embedding scheme is presented showing that the D^{(1)}_n-automaton contains, as certain subsectors, the box-ball systems and all the other automata associated with the crystal bases of non-exceptional affine Lie algebras. The results extend the earlier ones to higher representations by a certain reduction and to a wider class of boundary conditions.
Keywords
Cite
@article{arxiv.nlin/0310002,
title = {Factorization, reduction and embedding in integrable cellular automata},
author = {A. Kuniba and T. Takagi and A. Takenouchi},
journal= {arXiv preprint arXiv:nlin/0310002},
year = {2009}
}
Comments
LaTeX2e, 20 pages