Quantized W-algebra of sl(2, 1) and Quantum Parafermions of Uq(^sl(2))

DOI10.2991/jnmp.2000.7.2.7zbMath0962.17007arXivmath/9802076OpenAlexW3101257715MaRDI QIDQ4498285

Jintai Ding, Boris L. Feigin

Publication date: 15 August 2000

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

Full work available at URL: https://arxiv.org/abs/math/9802076

zbMATH Keywords

quantum parafermionscurrent operatorquantization of screening operatorsquantized \(W\)-algebra

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)

Related Items

Tri-Hamiltonian extensions of separable systems in the plane, From Bi-Hamiltonian Geometry to Separation of Variables: Stationary Harry-Dym and the KdV Dressing Chain, On the structure of Picard–Fuchs type equations for Liouville–Arnold integrable Hamiltonian system on cotangent phase spaces, On Separation of Variables for Integrable Equations of Soliton Type

Cites Work

• Separation of variables in the Gaudin model
• Bi-Hamiltonian dynamical systems related to low-dimensional Lie algebras
• Reduction of Poisson manifolds
• A new class of integrable systems and its relation to solitons
• Separation of variables in the classical integrable \(\mathrm{SL}(3)\) magnetic chain
• On a non-standard algebraic description of integrable nonlinear systems
• Newton representation of nonlinear ordinary differential equations
• Separation of variables for the Ruijsenaars system
• Hamiltonian flows on stationary manifolds
• Bi-Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation variables
• Separable systems of Stäckel
• Bi-Hamiltonian separable chains on Riemannian manifolds.
• On a class of dynamical systems both quasi-bi-Hamiltonian and bi-Hamiltonian.
• Integrable systems in the realm of algebraic geometry
• Separation of variables on n-dimensional Riemannian manifolds. I. The n-sphere S n and Euclidean n-space R n
• Restricted flows of soliton hierarchies: coupled KdV and Harry Dym case
• Quasi-bi-Hamiltonian systems and separability
• On separability of bi-Hamiltonian chain with degenerated Poisson structures
• A generalized Henon–Heiles system and related integrable Newton equations
• Miura map and Bi-Hamiltonian formulation for restricted flows of the KdV hierarchy
• Two degrees of freedom quasi-bi-Hamiltonian systems
• Theory of separability of multi-Hamiltonian chains
• Linear r-matrix algebra for classical separable systems
• Enumeration of Potentials for Which One-Particle Schroedinger Equations Are Separable