Soliton cellular automaton associated with $G_2^{(1)}$G2(1) crystal base

DOI10.1063/1.3673541zbMath1273.37008arXiv1109.2836OpenAlexW3012497284WikidataQ57433742 ScholiaQ57433742MaRDI QIDQ2853636

Masato Okado, Evan Wilson, Kailash C. Misra

Publication date: 16 October 2013

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

Full work available at URL: https://arxiv.org/abs/1109.2836

Mathematics Subject Classification ID

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) Soliton equations (35Q51) Dynamical aspects of cellular automata (37B15) Combinatorial dynamics (types of periodic orbits) (37E15) Soliton solutions (35C08)

Related Items (6)

Categorical relations between Langlands dual quantum affine algebras: exceptional cases ⋮ Uniform description of the rigged configuration bijection ⋮ A crystal to rigged configuration bijection and the filling map for type \(D_4^{(3)}\) ⋮ A uniform approach to soliton cellular automata using rigged configurations ⋮ Soliton cellular automaton associated with $D_n^{(1)}$Dn(1)-crystal B2,s ⋮ Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types

Cites Work

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• Soliton cellular automata associated with crystal bases

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