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Construction of the Quantum Integrable Equations on Space-Time Lattice Based on the LatticeWAlgebra

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Publication:2718236
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DOI10.1143/JPSJ.67.1163zbMath1078.37519OpenAlexW2043654945MaRDI QIDQ2718236

Rei Inoue, Kazuhiro Hikami

Publication date: 13 August 2001

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/jpsj.67.1163


zbMATH Keywords

integrability, difference-difference equation, fundamental L-operator, Yang-Baxter equation, lattice \(W_N\) algebra


Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60)


Related Items

The lattice Toda field theory for simple Lie algebras: Hamiltonian structure and \(\tau\)-function ⋮ The Baxter equation for quantum discrete Boussinesq equation ⋮ On the fundamental \(L\) operator for the quantum lattice \(W\) algebra.



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