Double Lie algebras of a nonzero weight
From MaRDI portal
Publication:2089651
DOI10.1016/j.aim.2022.108680OpenAlexW3158136535MaRDI QIDQ2089651
M. E. Goncharov, Vsevolod Yur'evich Gubarev
Publication date: 24 October 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.13678
Poisson algebras (17B63) Associative rings and algebras with additional structure (16W99) Yang-Baxter equations and Rota-Baxter operators (17B38)
Related Items (6)
Around Van den Bergh’s double brackets for different bimodule structures ⋮ Quasi-triangular and factorizable antisymmetric infinitesimal bialgebras ⋮ Twisting theory, relative Rota-Baxter type operators and \(L_\infty\)-algebras on Lie conformal algebras ⋮ Quasi-triangular pre-Lie bialgebras, factorizable pre-Lie bialgebras and Rota-Baxter pre-Lie algebras ⋮ Unnamed Item ⋮ Factorizable Lie bialgebras, quadratic Rota-Baxter Lie algebras and Rota-Baxter Lie bialgebras
Cites Work
- Unnamed Item
- Unnamed Item
- Noncommutative inverse scattering method for the Kontsevich system
- \(R\)-matrices in rime
- Poisson structures on moduli spaces of representations
- Classical Yang-Baxter equation and the \(A_\infty\)-constraint
- An analytic problem whose solution follows from a simple algebraic identity
- Quantum analogy of Poisson geometry, related dendriform algebras and Rota-Baxter operators
- Jordan bialgebras of symmetric elements and Lie bialgebras
- Simple finite-dimensional double algebras
- On Rota-Baxter operators of non-zero weight arisen from the solutions of the classical Yang-Baxter equation
- An example of a simple double Lie algebra
- Pre-Calabi-Yau algebras as noncommutative Poisson structures
- Double Poisson vertex algebras and non-commutative Hamiltonian equations
- Modified double Poisson brackets
- Some aspects of Baxter's functional equation
- Double Poisson brackets on free associative algebras
- Double Poisson algebras
- Rota–Baxter operators of nonzero weight on the matrix algebra of order three
- Rota-Baxter operators on unital algebras
- Splitting of Operations, Manin Products, and Rota–Baxter Operators
- ON THE FINITE HILBERT TRANSFORMATION
- Pre-Poisson algebras
- On the associative analog of Lie bialgebras
- Solutions of the classical Yang-Baxter equation for simple Lie algebras
This page was built for publication: Double Lie algebras of a nonzero weight