Quantization of generalized Virasoro-like algebras

DOI10.1016/J.LAA.2008.01.020zbMath1137.17019arXivmath/0611944OpenAlexW1974127345MaRDI QIDQ924362

Guang'ai Song, Yucai Su, Yue Zhu Wu

Publication date: 15 May 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611944

zbMATH Keywords

quantizationVirasoro algebraLie bialgebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Lie algebras of vector fields and related (super) algebras (17B66) Lie bialgebras; Lie coalgebras (17B62)

Related Items (12)

Quantizations of the Extended Affine Lie Algebra $\widetilde{\frak{sl}_2(\mathbb{C}_q)}$ ⋮ Quantization of the super-\(\mathrm{BMS}_3\) algebra ⋮ \(q\)-deformation of \(W(2, 2)\) Lie algebra associated with quantum groups ⋮ Dual Lie bialgebra structures of Poisson types ⋮ Quantization of the derivation Lie algebra over quantum torus ⋮ Schrödinger-Virasoro type Lie bialgebra: a twisted case ⋮ Quantization of the Lie superalgebra of Witt type ⋮ Lie bialgebras of a family of Lie algebras of Block type ⋮ Drinfel'd Twist Deformations of the Super-Virasoro Algebras ⋮ Quantizations of the \(W\)-algebra \(W(2,2)\) ⋮ BMS algebras in 4 and 3 dimensions, their quantum deformations and duals ⋮ The σ-Derivations of ℂ[x^±1,y^±1]

Cites Work

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• Witt and Virasoro algebras as Lie bialgebras
• Lie bialgebras of generalized Witt type
• Lie bialgebras of generalized Virasoro-like type
• The dual Poincaré-Birkhoff-Witt theorem
• Lie coalgebras
• Bialgebra actions, twists, and universal deformation formulas
• A class of infinite-dimensional Lie bialgebras containing the Virasoro algebra
• Generalized Cartan type \(S\) Lie algebras in characteristic 0. II
• Classification of the Lie bialgebra structures on the Witt and Virasoro algebras
• Generalizations of the Block algebras
• New generalized simple Lie algebras of Cartan type over a field with characteristic 0
• Quantizations of generalized-Witt algebra and of Jacobson-Witt algebra in the modular case
• Quantizations of the Witt algebra and of simple Lie algebras in characteristic \(p\)
• Nonzero level Harish-Chandra modules over the Virasoro-like algebra
• Representations of the virasoro-like algebra and itsq-Analog
• The derivation algebra and the universal central extension of theq-analog of the virasoro-like algebra^*
• Structure of divergence-free Lie algebras

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