Poisson triple systems
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Publication:6044824
DOI10.1080/03081087.2022.2053039OpenAlexW4220847574MaRDI QIDQ6044824
Hader A. Elgendy, Murray R. Bremner
Publication date: 22 May 2023
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2022.2053039
universal enveloping algebrascomputer algebraPoisson algebrasalgebraic operadsKoszul operadsPoisson triple systems
Symbolic computation and algebraic computation (68W30) Universal enveloping (super)algebras (17B35) Poisson algebras (17B63) Nonassociative algebras satisfying other identities (17A30) Ternary compositions (17A40) Algebraic operads, cooperads, and Koszul duality (18M70)
Cites Work
- Unnamed Item
- Unnamed Item
- Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields
- The local structure of Poisson manifolds
- From Poisson algebras to Gerstenhaber algebras
- Theory of Koszul operads and homology of Poisson algebras
- Poisson algebras in terms of non-associative algebras
- The Hamiltonian structure of the Maxwell-Vlasov equations
- Jordan triple systems by the grid approach
- Les variétés de Poisson et leurs algèbres de Lie associees
- Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras
- Connections in Poisson geometry. I: Holonomy and invariants.
- Some algorithmic problems for Poisson algebras
- Integrability of Poisson brackets
- On a Hopf operad containing the Poisson operad
- Word operads and admissible orderings
- Veronese powers of operads and pure homotopy algebras
- An operadic approach to deformation quantization of compatible Poisson brackets. I
- Algebras with one operation including Poisson and other Lie-admissible algebras
- Centralizers in free Poisson algebras
- N-ary algebras
- Poisson PI algebras
- Classification of Regular Parametrized One-relation Operads
- LEIBNIZ TRIPLE SYSTEMS
- Ternary Rings
- A Structure Theory of Lie Triple Systems
- Algebraic Operads
- Algebraic Operads