Representations of the Schrödinger–Virasoro algebras

DOI10.1063/1.2924216zbMath1152.81529arXiv0801.2209OpenAlexW1628359674MaRDI QIDQ5504923

Yucai Su, Junbo Li

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.2209

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (36)

2-Cocycles of Twisted Deformative Schrödinger–Virasoro Algebras ⋮ Lie bialgebra structures on the deformative Schrödinger-Virasoro algebras ⋮ Derivation algebra and automorphism group of generalized topological \(N=2\) superconformal 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 ⋮ $\mathcal{W}(a,b)$ Lie Conformal Algebra and Its Conformal Module of Rank One ⋮ Derivations and Automorphism Group of Original Deformative Schrödinger-Virasoro Algebra ⋮ Infinite-dimensional Lie algebras, representations, Hermitian duality and the operators of stochastic calculus ⋮ Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra ⋮ Schrödinger-Virasoro type Lie bialgebra: a twisted case ⋮ Deformations on the twisted Heisenberg-Virasoro algebra ⋮ On vertex algebra representations of the Schrödinger-Virasoro Lie algebra ⋮ Weight modules over a class of graded Lie algebras ⋮ Indecomposable modules of the intermediate series over \(\mathcal W(a, b)\) ⋮ Schrödinger-Virasoro Lie conformal algebra ⋮ UNITARY REPRESENTATIONS FOR THE SCHRÖDINGER–VIRASORO LIE ALGEBRA ⋮ Classification of Indecomposable Modules of the Intermediate Series over Deformative Schrödinger-Virasoro Lie Algebras ⋮ Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra ⋮ Structures of generalized loop Schrödinger-Virasoro algebras ⋮ Automorphisms and Verma modules for generalized Schrödinger-Virasoro algebras ⋮ Lie bialgebra structures on the Schrödinger–Virasoro Lie algebra ⋮ Biderivations of the deformative Schrödinger-Virasoro algebras ⋮ Leibniz central extension on centerless twisted Schrödinger-Virasoro algebra ⋮ N-Derivations for Finitely Generated Graded Lie Algebras ⋮ Lie Bialgebra Structures on the Extended Schrödinger-Virasoro Lie Algebra ⋮ Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras ⋮ Tensor product weight modules of Schrödinger-Virasoro algebras ⋮ Irreducible weight modules over the twisted Schrödinger-Virasoro algebra ⋮ Biderivations And Linear Commuting Maps on the Schrödinger-Virasoro Lie Algebra ⋮ 2-cocycles of original deformative Schrödinger-Virasoro algebras ⋮ Biderivations and commutative post-Lie algebra structure on Schrödinger-Virasoro Lie algebras ⋮ Non-weight modules over the mirror Heisenberg-Virasoro algebra ⋮ Classification of indecomposable modules of the intermediate series over the twisted N=2 superconformal algebra ⋮ Whittaker modules for the Schrödinger–Witt algebra ⋮ Derivations and Automorphisms of Twisted Deformative Schrödinger–Virasoro Lie Algebras

Cites Work

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• Indecomposable modules over the Virasoro Lie algebra and a conjecture of V. Kac
• The Schrödinger-Virasoro Lie group and algebra: representation theory and cohomological study
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• Generalizations of Virasoro group and Virasoro algebra through extensions by modules of tensor-densities on \(S^1\)
• Extensions of the Virasoro group and the Virasoro algebra by modules of tensor densities on \(S^ 1\)
• Classification of Harish-Chandra modules over the higher rank Virasoro algebras
• Schrödinger invariance and spacetime symmetries
• Classification of quasifinite modules over the Lie algebras of Weyl type.
• Schrödinger invariance and strongly anisotropic critical systems
• Looped cotangent Virasoro algebra and nonlinear integrable systems in dimension \(2+1\)
• Simple modules over the higher-rank super-Virasoro algebras

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