Derived bracket construction and Manin products

DOI10.1007/s11005-010-0400-xzbMath1198.18001arXiv0904.1961OpenAlexW2011945772MaRDI QIDQ5962038

Kyousuke Uchino

Publication date: 16 September 2010

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1961

zbMATH Keywords

Poisson bracketsoperadsderived bracketsManin productsperm-algebrasRota-Baxter operators

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (8)

Cohomology and deformations of \(\mathcal{O}\)-operators on Hom-associative algebras ⋮ \(\mathcal{O}\)-operators and Nijenhuis operators of associative conformal algebras ⋮ Twilled 3-Lie algebras, generalized matched pairs of 3-Lie algebras and \(\mathcal{O}\)-operators ⋮ Splitting of operads and Rota-Baxter operators on operads ⋮ The 𝓞N-structure on bimodules over associative conformal algebras ⋮ Embedding of dendriform algebras into Rota-Baxter algebras ⋮ Deformations of associative Rota-Baxter operators ⋮ Nonabelian embedding tensors

Cites Work

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• From Poisson algebras to Gerstenhaber algebras
• Derived brackets
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Koszul duality for operads
• Quadri-algebras
• Erratum to ``Koszul duality for operads
• Manin products, Koszul duality, Loday algebras and Deligne conjecture
• Pre-Poisson algebras

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