Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras

DOI10.1016/j.jalgebra.2022.07.004OpenAlexW4285483662WikidataQ115350269 ScholiaQ115350269MaRDI QIDQ2168817

Guilai Liu, Cheng-Ming Bai

Publication date: 26 August 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.06200

zbMATH Keywords

Novikov algebrapre-Lie algebracommutative 2-cocycleanti-pre-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) Poisson algebras (17B63) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Ternary compositions (17A40) Lie-admissible algebras (17D25)

Related Items

Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras, Transposed Poisson structures, Koszul duality, minimal model and \(L_\infty \)-structure for differential algebras with weight, Idempotent pre-endomorphisms of algebras

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