Lie bialgebra structures on the Schrödinger–Virasoro Lie algebra
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Publication:3069189
DOI10.1063/1.3187784zbMath1234.17016arXiv0901.1339OpenAlexW2022761395WikidataQ115333460 ScholiaQ115333460MaRDI QIDQ3069189
Yucai Su, Jianzhi Han, Junbo Li
Publication date: 24 January 2011
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0901.1339
Lie algebras of vector fields and related (super) algebras (17B66) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Lie bialgebras; Lie coalgebras (17B62)
Related Items (24)
Lie bialgebra structures on the deformative Schrödinger-Virasoro algebras ⋮ Quantization of the super-\(\mathrm{BMS}_3\) algebra ⋮ A family of new simple modules over the Schrödinger-Virasoro algebra ⋮ A class of Schrödinger–Virasoro type Lie conformal algebras ⋮ Quantization of Schrödinger-Virasoro Lie algebra ⋮ Derivations and Automorphism Group of Original Deformative Schrödinger-Virasoro Algebra ⋮ Infinite-dimensional Lie bialgebras via affinization of Novikov bialgebras and Koszul duality ⋮ 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 ⋮ Schrödinger-Virasoro Lie conformal algebra ⋮ Classification of Indecomposable Modules of the Intermediate Series over Deformative Schrödinger-Virasoro Lie Algebras ⋮ Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra ⋮ Lie Super-bialgebra Structures on Generalized Ramond N=2 Super-Virasoro Algebras ⋮ Structures of generalized loop Schrödinger-Virasoro algebras ⋮ Graded post-Lie algebra structures and homogeneous Rota-Baxter operators on the Schrödinger-Virasoro 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 bialgebra structures on generalized loop Schrödinger-Virasoro algebras ⋮ Biderivations and commutative post-Lie algebra structure on Schrödinger-Virasoro Lie algebras ⋮ Derivations and Automorphisms of Twisted Deformative Schrödinger–Virasoro Lie Algebras ⋮ Lie bialgebras of not-finitely graded Lie algebras related to generalized Virasoro algebras
Cites Work
- Witt and Virasoro algebras as Lie bialgebras
- Automorphisms and Verma modules for generalized Schrödinger-Virasoro algebras
- Lie bialgebras of generalized Witt type
- The Schrödinger-Virasoro Lie group and algebra: representation theory and cohomological study
- Lie bialgebras of generalized Virasoro-like type
- Lie bialgebras of a family of Lie algebras of Block type
- 2-cocycles of original deformative Schrödinger-Virasoro algebras
- The dual Poincaré-Birkhoff-Witt theorem
- Lie coalgebras
- A class of infinite-dimensional Lie bialgebras containing the Virasoro algebra
- Schrödinger invariance and spacetime symmetries
- Classification of the Lie bialgebra structures on the Witt and Virasoro algebras
- Schrödinger invariance and strongly anisotropic critical systems
- Quantization of Lie bialgebras. I
- Representations of the Schrödinger–Virasoro algebras
- Lie Bialgebras of Generalized WITT Type, II
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