Classification of finite irreducible conformal modules over some Lie conformal algebras related to the Virasoro conformal algebra

DOI10.1063/1.4979619zbMath1380.17022arXiv1606.01082OpenAlexW2460252996WikidataQ115333145 ScholiaQ115333145MaRDI QIDQ2981020

Lamei Yuan, Henan Wu

Publication date: 8 May 2017

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

Full work available at URL: https://arxiv.org/abs/1606.01082

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (14)

Representations of super deformation of Heisenberg-Virasoro type Lie conformal algebras ⋮ A class of graded conformal algebras which is induced by Heisenberg-Virasoro conformal algebra ⋮ Extensions of finite irreducible modules of Lie conformal algebras W(a,b) and some Schrödinger-Virasoro type Lie conformal algebras ⋮ Finite irreducible representations of map Lie conformal algebras ⋮ Extensions of Schrödinger–Virasoro conformal modules ⋮ Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra W(a,b) ⋮ Finite irreducible conformal modules of rank two Lie conformal algebras ⋮ Classification of finite irreducible conformal modules over Lie conformal algebra \(\mathcal{W}(a,b,r)\) ⋮ Finite irreducible conformal modules over the Lie conformal superalgebra \(\mathcal{S}(p)\) ⋮ Finite irreducible modules of Lie conformal algebras 𝒲(a,b) and some Schrödinger–Virasoro type Lie conformal algebras ⋮ Extensions of modules over a class of Lie conformal algebras 𝒲(b) ⋮ Modules for map Virasoro conformal algebras ⋮ Cohomology of the Schrödinger–Virasoro conformal algebra ⋮ Extensions of modules over the Heisenberg–Virasoro conformal algebra

Cites Work

• Unnamed Item
• Structures of \(W(2,2)\) Lie conformal algebra
• Structure theory of finite conformal algebras
• Cohomology of conformal algebras
• Conformal modules
• Schrödinger invariance and spacetime symmetries
• Schrödinger invariance and strongly anisotropic critical systems
• $\mathcal{W}(a,b)$ Lie Conformal Algebra and Its Conformal Module of Rank One
• Cohomology of Heisenberg-Virasoro conformal algebra
• Schrödinger-Virasoro Lie conformal algebra

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