Soliton cellular automata associated with crystal bases

DOI10.1016/S0550-3213(00)00105-XzbMath1024.82017arXivsolv-int/9907020MaRDI QIDQ5934847

Atsuo Kuniba, Goro Hatayama, Taichiro Takagi

Publication date: 14 May 2001

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9907020

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) Cellular automata (computational aspects) (68Q80)

Related Items (19)

Scattering rule in soliton cellular automaton associated with crystal base of Uq(D4(3)) ⋮ Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics ⋮ Inverse scattering method for a soliton cellular automaton ⋮ Uniform description of the rigged configuration bijection ⋮ Soliton cellular automata for the affine general linear Lie superalgebra ⋮ From braces to Hecke algebras and quantum groups ⋮ Stable rigged configurations for quantum affine algebras of nonexceptional types ⋮ COMBINATORIAL BETHE ANSATZ AND GENERALIZED PERIODIC BOX-BALL SYSTEM ⋮ Set-theoretic Yang-Baxter \& reflection equations and quantum group symmetries ⋮ A uniform approach to soliton cellular automata using rigged configurations ⋮ A QUANTIZATION OF BOX-BALL SYSTEMS ⋮ Tau functions in combinatorial Bethe ansatz ⋮ Soliton cellular automaton associated with $D_n^{(1)}$Dn(1)-crystal B2,s ⋮ Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection. II: Proof for \(\mathfrak{sl}_{n}\) case ⋮ The AM(1) automata related to crystals of symmetric tensors ⋮ Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types ⋮ Box-ball systems and Robinson-Schensted-Knuth correspondence ⋮ Soliton cellular automaton associated with $G_2^{(1)}$G2(1) crystal base ⋮ Analysis of a particle antiparticle description of a soliton cellular automaton

Cites Work

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