Deformed Virasoro algebras and \({\mathcal W}\)-algebras from elliptic algebras

DOI10.1007/BF02551401zbMath1032.17019OpenAlexW2052139989MaRDI QIDQ1592128

Paul Sorba

Publication date: 11 March 2004

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02551401

zbMATH Keywords

\(W\)-algebrasPoisson structureselliptic algebras\(q\)-deformed Virasoro algebrasexchange algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Virasoro and related algebras (17B68) Quantum chaos (81Q50)

Cites Work

• Unnamed Item
• Deformed \({\mathcal W}_N\) algebras from elliptic \(sl(N)\) algebras
• An elliptic quantum algebra for \(\widehat{\text{sl}}_ 2\)
• Dynamical symmetry of integrable quantum systems
• Universal construction of \({\mathcal W}_{q,p}\) algebras
• A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
• Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras
• Quantum \({\mathcal W}\)-algebras and elliptic algebras
• Quasi-Hopf twistors for elliptic quantum groups
• Poisson structures on the center of the elliptic algebra \(\mathcal A_{q,p}(\widehat{\text{sl}}(2)_c)\)
• New \(\mathcal W_{q,p}(\text{sl}(2))\) algebras from the elliptic algebra \(\mathcal A_{q,p}(\widehat{\text{sl}}(2)_c)\)
• Central extensions of classical and quantum \(q\)-Virasoro algebras
• DEFORMED DOUBLE YANGIAN STRUCTURES

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