Classification of the Lie bialgebra structures on the Witt and Virasoro algebras
From MaRDI portal
Publication:1577500
DOI10.1016/S0022-4049(99)00045-6zbMath0971.17008OpenAlexW2024604757WikidataQ115340059 ScholiaQ115340059MaRDI QIDQ1577500
Publication date: 31 October 2001
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-4049(99)00045-6
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Virasoro and related algebras (17B68)
Related Items (49)
Quantizations of generalized-Witt algebra and of Jacobson-Witt algebra in the modular case ⋮ Lie bialgebra structures on the deformative Schrödinger-Virasoro algebras ⋮ Quantizations of the Witt algebra and of simple Lie algebras in characteristic \(p\) ⋮ Lie bialgebras of generalized Witt type ⋮ Dual Lie Bialgebra Structures of Twisted Schrödinger-Virasoro Type ⋮ Quantization of Lie Algebras of Generalized Weyl Type ⋮ Lie bialgebra structures on derivation Lie algebra over quantum tori ⋮ Lie super-bialgebra structures on the Ramond \(N = 2\) super-Virasoro algebra ⋮ Lie bialgebras of generalized Virasoro-like type ⋮ Dual Lie bialgebra structures of Poisson types ⋮ Lie superbialgebra structures on the \(N=2\) superconformal Neveu-Schwarz algebra ⋮ Lie Bialgebra Structures on Lie Algebras of Generalized Weyl Type ⋮ Infinite-dimensional Lie bialgebras via affinization of Novikov bialgebras and Koszul duality ⋮ Lie super-bialgebra structures on the two dimensional supersymmetric Galilean conformal 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 ⋮ Deformations on the twisted Heisenberg-Virasoro algebra ⋮ Unnamed Item ⋮ Quantization of generalized Virasoro-like algebras ⋮ \(\kappa\)-deformed BMS symmetry ⋮ Lie Bialgebra Structures on the Centerless W-Algebra W(2,2) ⋮ Hamiltonian type Lie bialgebras ⋮ Lie bialgebras of a family of Lie algebras of Block type ⋮ Lie super-bialgebra structures on super \(\mathcal{W}\)-algebra \(\mathcal{SW}(\frac{3}{2}, \frac{3}{2})\) ⋮ 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 ⋮ Finite-dimensional subalgebras of the Virasoro algebra ⋮ Quantizations of the \(W\)-algebra \(W(2,2)\) ⋮ Lie Bialgebras of Generalized WITT Type, II ⋮ Lie bialgebra structures on the Schrödinger–Virasoro Lie algebra ⋮ Lie Bialgebra Structures on the q-Analog Virasoro-Like Algebras ⋮ Lie Super-bialgebra Structures on the Centerless Twisted N=2 Super-conformal Algebra ⋮ The Derivation Algebra and Automorphism Group of the Twisted N = 2 Superconformal 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 a class of generalized super W-algebra L ⋮ Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras ⋮ Lie super-bialgebra structures on super-Virasoro algebra ⋮ 3-dimensional \(\Lambda\)-BMS symmetry and its deformations ⋮ Lie super-bialgebra structures on the N = 2 super-BMS3 algebra ⋮ Dual Lie bialgebra structures of \(W\)-algebra \(W(2, 2)\) type ⋮ Lie Bialgebra Structures on the Lie Algebra ⋮ Derivations of the nongraded Witt algebra with coefficients in tensor modules ⋮ Lie bialgebras of not-finitely graded Lie algebras related to generalized Virasoro algebras ⋮ Lie bialgebras of generalized loop Virasoro algebras
Cites Work
- Witt and Virasoro algebras as Lie bialgebras
- Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction
- The dual Poincaré-Birkhoff-Witt theorem
- Coadjoint orbits of the Virasoro group
- Lie coalgebras
- A class of infinite-dimensional Lie bialgebras containing the Virasoro algebra
- A Poisson-Lie structure on the diffeomorphism group of a circle
- Classification of all Poisson-Lie structures on an infinite-dimensional jet group
- An example of a non-zero Lie coalgebra M for which \(Loc(M)=0\)
- Cohomology of Lie algebras
- The cohomologies of the lie algebra of the vector fields in a circle
- Solutions of the classical Yang-Baxter equation for simple Lie algebras
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Classification of the Lie bialgebra structures on the Witt and Virasoro algebras
