Lie Bialgebra Structures on Lie Algebras of Generalized Weyl Type

DOI10.1080/00927870701776649zbMath1200.17011OpenAlexW2053116539MaRDI QIDQ3510110

Yucai Su, Xiao Qing Yue

Publication date: 26 June 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701776649

zbMATH Keywords

Lie algebra of generalized Weyl typeLie bialgebra structures

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Lie bialgebras; Lie coalgebras (17B62)

Related Items (17)

Lie bialgebra structures on the deformative Schrödinger-Virasoro algebras ⋮ Quantization of Lie Algebras of Generalized Weyl Type ⋮ Lie bialgebra structures on derivation Lie algebra over quantum tori ⋮ \(q\)-deformation of \(W(2, 2)\) Lie algebra associated with quantum groups ⋮ Quantization of the derivation Lie algebra over quantum torus ⋮ Hopf Structure for the q-Lévy-Meixner Oscillator Algebra ⋮ The deformed twisted Heisenberg–Virasoro type Lie bialgebra ⋮ 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 ⋮ A construction of Lie bialgebras from Lie coalgebras via antisymmetric bilinear forms ⋮ 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 generalized loop Schrödinger-Virasoro algebras ⋮ Lie super-bialgebra structures on the N = 2 super-BMS₃ algebra ⋮ Lie bialgebras of generalized loop Virasoro algebras

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
• A class of infinite-dimensional Lie bialgebras containing the Virasoro algebra
• Classification of the Lie bialgebra structures on the Witt and Virasoro algebras
• Simple algebras of Weyl type
• Classification of quasifinite modules over the Lie algebras of Weyl type.
• Simple Lie color algebras of Weyl type
• The structure of the dual Lie coalgebra of the Witt algebra

This page was built for publication: Lie Bialgebra Structures on Lie Algebras of Generalized Weyl Type