On the classification of $3$-dimensional $F$-manifold algebras

DOI10.21136/CMJ.2022.0017-22MaRDI QIDQ5878459

Jifu Li, Ming Ding, Zhiqi Chen

Publication date: 21 February 2023

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Poisson algebra\(F\)-manifold\(F\)-manifold algebra

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30)

Cites Work

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• Quantum analogy of Poisson geometry, related dendriform algebras and Rota-Baxter operators
• Algebraic structures of \(F\)-manifolds via pre-Lie algebras
• 3-dimensional \(F\)-manifolds
• F-algebra-Rinehart pairs and super F-algebroids
• Noncommutative Poisson bialgebras
• \(F\)-manifold algebras and deformation quantization via pre-Lie algebras
• The classification of Novikov algebras in low dimensions
• Invariants of real low dimension Lie algebras
• Poisson bialgebras
• Classification and Identification of Lie Algebras

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