Cohomology of Lie-conformal algebras with derivations

DOI10.3770/j.issn:2095-2651.2024.06.005MaRDI QIDQ6646475

Shuang-Jian Guo

Publication date: 2 December 2024

Published in: Journal of Mathematical Research with Applications (Search for Journal in Brave)

zbMATH Keywords

cohomologyabelian extensionLie conformal algebrashomotopy derivationconformal Lie 2-algebras

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Cohomology of Lie (super)algebras (17B56) Nonassociative algebras satisfying other identities (17A30)

Cites Work

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• Lie conformal algebra cohomology and the variational complex
• On finite representations of conformal algebras
• Structure theory of finite conformal algebras
• Leibniz algebras with derivations
• Cohomology of Leibniz triple systems with derivations
• Another class of simple graded Lie conformal algebras that cannot be embedded into general Lie conformal algebras
• Cohomologies of a Lie algebra with a derivation and applications
• Left-symmetric conformal algebras and vertex algebras
• Associative conformal algebras with finite faithful representation.
• Finite irreducible conformal modules of rank two Lie conformal algebras
• Conformal r-matrix-Nijenhuis structures, symplectic-Nijenhuis structures, and ON-structures
• Twisting theory, relative Rota-Baxter type operators and \(L_\infty\)-algebras on Lie conformal algebras
• Cohomologies and deformations of Lie triple systems with derivations
• Cohomologies of relative Rota-Baxter Lie algebras with derivations and applications

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