Factorization of combinatorial \(R\) matrices and associated cellular automata.

DOI10.1023/A:1004803003717zbMath1041.81065arXivmath/0003161MaRDI QIDQ5942269

Taichiro Takagi, Goro Hatayama, Atsuo Kuniba

Publication date: 28 August 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0003161

zbMATH Keywords

quantum groupsbox-ball systemscombinatorial \(R\) matrixcrystal basequantum integrable systemssoliton cellular automataSolvable vertex models

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical aspects of cellular automata (37B15) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items (3)

A QUANTIZATION OF BOX-BALL SYSTEMS ⋮ Large deviations and one-sided scaling limit of randomized multicolor box-ball system ⋮ Analysis of a particle antiparticle description of a soliton cellular automaton

This page was built for publication: Factorization of combinatorial \(R\) matrices and associated cellular automata.