Lie bialgebras of a family of Lie algebras of Block type

DOI10.1007/S11401-007-0447-XzbMath1225.17025OpenAlexW2074175912MaRDI QIDQ950680

Bin Xin, Junbo Li, Yucai Su

Publication date: 27 October 2008

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-007-0447-x

zbMATH Keywords

Yang-Baxter equationLie bialgebrasLie algebra of Block type

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Lie algebras of vector fields and related (super) algebras (17B66) Structure theory for Lie algebras and superalgebras (17B05) Lie bialgebras; Lie coalgebras (17B62)

Related Items (14)

Lie bialgebra structures on the deformative Schrödinger-Virasoro algebras ⋮ Derivations and Automorphism Group of Completed Witt Lie Algebra ⋮ Lie bialgebra structures on the extended affine Lie algebra \(\widetilde {\mathfrak {sl}_2(\mathbb C_q)}\) ⋮ Schrödinger-Virasoro type Lie bialgebra: a twisted case ⋮ Lie Bialgebra Structures on the Centerless W-Algebra W(2,2) ⋮ Drinfel'd Twist Deformations of the Super-Virasoro Algebras ⋮ Lie Super-bialgebra Structures on Generalized Ramond N=2 Super-Virasoro Algebras ⋮ Quantizations of the \(W\)-algebra \(W(2,2)\) ⋮ Lie bialgebra structures on the Schrödinger–Virasoro Lie algebra ⋮ Lie super-bialgebra and quantization of the super Virasoro algebra ⋮ Lie Bialgebra Structures on the Extended Schrödinger-Virasoro Lie Algebra ⋮ Lie super-bialgebra structures on a class of generalized super W-algebra L ⋮ Lie super-bialgebra structures on the N = 2 super-BMS₃ algebra ⋮ Lie Bialgebra Structures on the Lie Algebra

Cites Work

• Unnamed Item
• Witt and Virasoro algebras as Lie bialgebras
• Lie bialgebras of generalized Witt type
• Lie bialgebras of generalized Virasoro-like type
• Quantization of generalized Virasoro-like algebras
• The dual Poincaré-Birkhoff-Witt theorem
• Lie coalgebras
• A class of infinite-dimensional Lie bialgebras containing the Virasoro algebra
• Classification of the Lie bialgebra structures on the Witt and Virasoro algebras
• Quasifinite representations of a family of Lie algebras of Block type
• 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
• The structure of the dual Lie coalgebra of the Witt algebra

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