Lie Bialgebras of Generalized WITT Type, II

DOI10.1080/00927870701247187zbMath1130.17010arXivmath/0512555OpenAlexW2007403855MaRDI QIDQ5756461

Guang'ai Song, Yucai Su, Yue Zhu Wu

Publication date: 4 September 2007

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

Full work available at URL: https://arxiv.org/abs/math/0512555

zbMATH Keywords

Witt algebraLie bialgebrascoboundary

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Lie bialgebras; Lie coalgebras (17B62) Cohomology of Lie (super)algebras (17B56)

Related Items (16)

Lie bialgebra structures on the deformative Schrödinger-Virasoro algebras ⋮ Derivations and Automorphism Group of Completed Witt Lie Algebra ⋮ \(q\)-deformation of \(W(2, 2)\) Lie algebra associated with quantum groups ⋮ Lie superbialgebra structures on the \(N=2\) superconformal Neveu-Schwarz 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 super-bialgebra structures on the Lie superalgebra of Witt type ⋮ Drinfel'd Twist Deformations of the Super-Virasoro Algebras ⋮ Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra ⋮ Lie Super-bialgebra Structures on Generalized Ramond N=2 Super-Virasoro Algebras ⋮ Lie bialgebra structures on the Schrödinger–Virasoro Lie algebra ⋮ Lie Bialgebra Structures on the q-Analog Virasoro-Like Algebras ⋮ Lie super-bialgebra and quantization of the super Virasoro algebra ⋮ Lie Bialgebra Structures on Lie Algebras of Block Type ⋮ Lie Bialgebra Structures on the Extended Schrödinger-Virasoro Lie Algebra ⋮ Lie super-bialgebra structures on super-Virasoro algebra

Cites Work

• 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
• Derivations and central extensions of finitely generated graded Lie algebras
• 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
• Derivation-simple algebras and the structures of Lie algebras of Witt type
• The structure of the dual Lie coalgebra of the Witt algebra
• Derivations, isomorphisms, and second cohomology of generalized Witt algebras
• Structure of divergence-free Lie algebras

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