Lie Bialgebra Structures on the Centerless W-Algebra W(2,2)

DOI10.1142/S1005386710000192zbMath1260.17018arXiv0801.4144OpenAlexW2011964565WikidataQ115245042 ScholiaQ115245042MaRDI QIDQ3553714

Junbo Li, Bin Xin, Yucai Su

Publication date: 21 April 2010

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.4144

zbMATH Keywords

Yang-Baxter equationLie bialgebras\(W\)-algebra \(W(2,2)\)

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Lie bialgebras; Lie coalgebras (17B62) Yang-Baxter equations (16T25)

Related Items (13)

Structures of a class of deformative super W-algebras ⋮ Left-symmetric algebra structures on the \(W\)-algebra \(W(2, 2)\) ⋮ Lie super-bialgebra structures on super \(\mathcal{W}\)-algebra \(\mathcal{SW}(\frac{3}{2}, \frac{3}{2})\) ⋮ Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra ⋮ Quantizations of the \(W\)-algebra \(W(2,2)\) ⋮ BMS algebras in 4 and 3 dimensions, their quantum deformations and duals ⋮ Higher-order Galilean contractions ⋮ Lie super-bialgebra and quantization of the super Virasoro algebra ⋮ Derivation algebra and automorphism group of the super W-algebra W(2,2) ⋮ Lie Bialgebra Structures on the Extended Schrödinger-Virasoro Lie Algebra ⋮ Lie super-bialgebra structures on a class of generalized super W-algebra L ⋮ 3-dimensional \(\Lambda\)-BMS symmetry and its deformations ⋮ Dual Lie bialgebra structures of \(W\)-algebra \(W(2, 2)\) type

Cites Work

• Witt and Virasoro algebras as Lie bialgebras
• \(W\)-algebra \(W\)(2, 2) and the vertex operator algebra \({L(\frac{1}{2},\,0)\,\otimes\, L(\frac{1}{2},\,0)}\)
• Lie bialgebras of generalized Witt type
• Lie bialgebras of generalized Virasoro-like type
• Lie bialgebras of a family of Lie algebras of Block type
• 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
• Quantizations of the Witt algebra and of simple Lie algebras in characteristic \(p\)
• The structure of the dual Lie coalgebra of the Witt algebra
• Classification of irreducible weight modules over W-algebra W(2,2)

This page was built for publication: Lie Bialgebra Structures on the Centerless W-Algebra W(2,2)