On the fundamental \(L\) operator for the quantum lattice \(W\) algebra.

DOI10.1016/S0960-0779(98)00054-XzbMath1047.82513MaRDI QIDQ1809564

Kazuhiro Hikami

Publication date: 1998

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

integrabilityYang-Baxter equationquantum dilogarithm function

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) Exactly solvable models; Bethe ansatz (82B23) Lattice dynamics; integrable lattice equations (37K60)

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Cites Work

• Abelian current algebra and the Virasoro algebra on the lattice
• Hirota equation as an example of an integrable symplectic map
• Quantum lattice KdV equation
• Lattice \(W_N\) algebra and its quantization
• Construction of the Quantum Integrable Equations on Space-Time Lattice Based on the LatticeWAlgebra
• Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation
• Classical latticeWalgebras and integrable systems
• QUANTUM DILOGARITHM
• Remarks on the quantum dilogarithm
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