Pre-Lie analogues of Poisson-Nijenhuis structures and Maurer–Cartan equations
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Publication:5863509
DOI10.1142/S0219498822501201WikidataQ115245574 ScholiaQ115245574MaRDI QIDQ5863509
Publication date: 1 June 2022
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.02098
deformationMaurer-Cartan equationpre-Lie algebraNijenhuis structure\(\mathcal{O}\mathrm{N}\)-structure
Structure theory for nonassociative algebras (17A60) Nonassociative algebras satisfying other identities (17A30) Yang-Baxter equations and Rota-Baxter operators (17B38)
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Cites Work
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- Noncommutative differentials on Poisson-Lie groups and pre-Lie algebras
- Pseudo-Hessian Lie algebras and L-dendriform bialgebras
- \(\mathcal O\)-operators on associative algebras and associative Yang-Baxter equations.
- From Poisson algebras to Gerstenhaber algebras
- Generalized Lax pairs, the modified classical Yang-Baxter equation, and affine geometry of Lie groups
- What is a classical r-matrix?
- Compatible structures on Lie algebroids and Monge-Ampère operators
- Some results on L-dendriform algebras
- Twisting on associative algebras and Rota-Baxter type operators.
- On Lie groups with left-invariant symplectic or Kählerian structures
- Algebraic structures of \(F\)-manifolds via pre-Lie algebras
- Double constructions of Frobenius algebras, Connes cocycles and their duality
- Compatible \(\mathcal{O}\)-operators on bimodules over associative algebras
- \(F\)-manifold algebras and deformation quantization via pre-Lie algebras
- The cohomology structure of an associative ring
- Left-symmetric algebras, or pre-Lie algebras in geometry and physics
- On a class of common properties of some different types of algebras.
- On the deformation of rings and algebras
- Contraction of Lie Groups
- LEFT-SYMMETRIC BIALGEBRAS AND AN ANALOGUE OF THE CLASSICAL YANG–BAXTER EQUATION
- Rota-Baxter operators on pre-Lie algebras
- What a Classical r-Matrix Really Is
- QUANTUM BI-HAMILTONIAN SYSTEMS
- Formality of Kapranov's Brackets in Kähler Geometry via Pre-Lie Deformation Theory
- Kupershmidt-(dual-)Nijenhuis structures on a Lie algebra with a representation
- Field Algebras
- Nijenhuis operators on pre-Lie algebras
- Splitting of Operations, Manin Products, and Rota–Baxter Operators
- A unified algebraic approach to the classical Yang–Baxter equation
- Pre-Lie deformation theory
- Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction