On \(\mathbb{N}\)-graded vertex algebras associated with cyclic Leibniz algebras with small dimensions

DOI10.1016/j.jpaa.2023.107439arXiv2301.05902OpenAlexW4378675028WikidataQ122884470 ScholiaQ122884470MaRDI QIDQ6174701

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Publication date: 17 August 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.05902

zbMATH Keywords

indecomposableirrational vertex algebrascyclic Leibniz algebras

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Leibniz algebras (17A32)

Cites Work

• Logarithmic intertwining operators and vertex operators
• Twisted modules for vertex algebras associated with vertex algebroids
• Chiral Poincaré duality
• On certain vertex algebras and their modules associated with vertex algebroids
• Chiral de Rham complex
• Gerbes of chiral differential operators. II: Vertex algebroids
• \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\)
• Vertex algebroids and conformal vertex algebras associated with simple Leibniz algebras
• On indecomposable non-simple \(\mathbb{N} \)-graded vertex algebras
• On indecomposable vertex algebras associated with vertex algebroids
• Representations of Leibniz algebras
• On some structures of Leibniz algebras
• Annihilating fields of standard modules of 𝔰𝔩(2,ℭ)^{∼} and combinatorial identities
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