An Introduction to Pre‐Lie Algebras

DOI10.1002/9781119818175.ch7zbMath1496.17023OpenAlexW3138307302MaRDI QIDQ5096063

Cheng-Ming Bai

Publication date: 12 August 2022

Published in: Algebra and Applications 1 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/9781119818175.ch7

zbMATH Keywords

representation theoryclassical Yang-Baxter equationstructure theoryfree pre-Lie algebrassimple pre-Lie algebras

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17B99) Yang-Baxter equations (16T25) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items (6)

Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation ⋮ Quasi-triangular pre-Lie bialgebras, factorizable pre-Lie bialgebras and Rota-Baxter pre-Lie algebras ⋮ The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras ⋮ Unnamed Item ⋮ Universal enveloping Lie Rota-Baxter algebras of pre-Lie and post-Lie algebras ⋮ Matching Rota-Baxter algebras, matching dendriform algebras and matching pre-Lie algebras

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