Polarization and deformations of generalized dendriform algebras

DOI10.4171/JNCG/449MaRDI QIDQ2080301

Pol Vanhaecke, Cyrille Ospel, Florin Panaite

Publication date: 7 October 2022

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09117

zbMATH Keywords

polarizationdeformationsdendriform algebrasRota-Baxter operators

Mathematics Subject Classification ID

Deformation quantization, star products (53D55) Categories of algebras (08C05) Nonassociative algebras satisfying other identities (17A30) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items

Quasi-triangular and factorizable antisymmetric infinitesimal bialgebras ⋮ BiHom-NS-algebras, twisted Rota-Baxter operators and generalized Nijenhuis operators

Cites Work

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• Rota-Baxter systems, dendriform algebras and covariant bialgebras
• Curved Rota-Baxter systems
• An analytic problem whose solution follows from a simple algebraic identity
• What is a classical r-matrix?
• Homology of generalized partition posets
• Poisson algebras in terms of non-associative algebras
• Some results on L-dendriform algebras
• Nonabelian generalized Lax pairs, the classical Yang-Baxter equation and PostLie algebras
• Lie-admissible algebras and operads.
• J-dendriform algebras
• Loday-type algebras and the Rota-Baxter relation
• Algebras with one operation including Poisson and other Lie-admissible algebras
• A rigidity theorem for pre-Lie algebras
• Pre-jordan Algebras
• Splitting of Operations, Manin Products, and Rota–Baxter Operators
• Poisson bialgebras
• Baxter algebras and combinatorial identities. I
• Dialgebras and related operads
• Pre-Poisson algebras