Central extensions of classical and quantum \(q\)-Virasoro algebras

DOI10.1016/S0375-9601(98)00864-0zbMath1024.17007arXivmath/9806065MaRDI QIDQ1967072

Marco Rossi, Jean Avan, Luc Frappat, Paul Sorba

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9806065

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 (5)

Deformations of Lie algebras using \(\sigma\)-derivations ⋮ On deformations of the Witt n-algebra ⋮ On abelianity lines in elliptic \(W\)-algebras ⋮ Quantum Deformations of the Heisenberg-Virasoro Algebra ⋮ Deformed Virasoro algebras and \({\mathcal W}\)-algebras from elliptic algebras

Cites Work

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• The deformed Virasoro algebra at roots of unity
• Deformed \({\mathcal W}_N\) algebras from elliptic \(sl(N)\) 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
• Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials
• 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 \(\mathcal A_{q,p}(\widehat{\text{sl}}(2)_c)\)

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