On 3-Lie algebras with a derivation

DOI10.1007/s13370-022-00998-7zbMath1498.17005arXiv2110.04715OpenAlexW3205253849MaRDI QIDQ2142288

Yanyan Li

Publication date: 27 May 2022

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.04715

zbMATH Keywords

cohomologyrepresentationdeformationderivationcentral extension3-Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Cohomology of Lie (super)algebras (17B56) Other (n)-ary compositions ((n ge 3)) (17A42)

Cites Work

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• Homotopy derivations
• Symplectic, product and complex structures on 3-Lie algebras
• A new approach to representations of 3-Lie algebras and abelian extensions
• Leibniz algebras with derivations
• Extensions and deformations of algebras with higher derivations
• Cohomologies of a Lie algebra with a derivation and applications
• The cohomology structure of an associative ring
• Higher derived brackets and homotopy algebras
• On the deformation of rings and algebras
• Bialgebras, the classical Yang-Baxter equation and Manin triples for 3-Lie algebras
• On an algorithm for finding derivations of Lie algebras
• Module extensions of 3-Lie algebras
• Derivations in Simple Rings
• On the operad of associative algebras with derivation
• Extension of derivations to central simple algebras
• 3-Lie bialgebras and 3-Lie classical Yang–Baxter equations in low dimensions
• Cohomology and deformations of 3-Lie colour algebras
• Cohomology, derivations and abelian extensions of 3-Lie algebras
• Extensions and automorphisms of Lie algebras
• Rota-Baxter 3-Lie algebras