A survey on deformations, cohomologies and homotopies of relative Rota–Baxter Lie algebras
From MaRDI portal
Publication:6051382
DOI10.1112/blms.12712zbMath1523.17037arXiv2212.04946OpenAlexW4288042089MaRDI QIDQ6051382
Publication date: 20 September 2023
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.04946
Lie bialgebras; Lie coalgebras (17B62) Cohomology of Lie (super)algebras (17B56) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Yang-Baxter equations and Rota-Baxter operators (17B38)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quillen homology for operads via Gröbner bases
- Intrinsic brackets and the \(L_\infty\)-deformation theory of bialgebras.
- Simultaneous deformations of algebras and morphisms via derived brackets
- From Poisson algebras to Gerstenhaber algebras
- An analytic problem whose solution follows from a simple algebraic identity
- What is a classical r-matrix?
- Cohomology theories for homotopy algebras and noncommutative geometry
- Unifying derived deformation theories
- A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov's recursion
- The \(L_\infty\)-deformation complex of diagrams of algebras
- Introduction to sh Lie algebras for physicists
- Splitting of operads and Rota-Baxter operators on operads
- Simple finite-dimensional double algebras
- Weak quasi-symmetric functions, Rota-Baxter algebras and Hopf algebras
- Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
- Deformation-obstruction theory for diagrams of algebras and applications to geometry
- Deformations of associative Rota-Baxter operators
- A version of the Goldman-Millson theorem for filtered \(L_\infty\)-algebras
- Lie theory for nilpotent \(L_{\infty}\)-algebras
- The cohomology structure of an associative ring
- Deformations and their controlling cohomologies of \(\mathcal{O}\)-operators
- Commutative algebra cohology and deformations of Lie and associative algebras
- Higher derived brackets and homotopy algebras
- On the deformation of rings and algebras
- On the cohomology groups of an associative algebra
- Deformations and homotopy theory of relative Rota-Baxter Lie algebras
- Commutative Algebras and Cohomology
- Simultaneous deformations and Poisson geometry
- Differential graded Lie algebras, quasi-hopf algebras and higher homotopy algebras
- What a Classical r-Matrix Really Is
- Categorification of Pre-Lie Algebras and Solutions of 2-graded Classical Yang-Baxter Equations
- Strongly homotopy lie algebras
- O-Operators on Lie ∞-algebras with respect to Lie ∞-actions
- Review of deformation theory I: Concrete formulas for deformations of algebraic structures
- Review of deformation theory II: a homotopical approach
- Splitting of Operations, Manin Products, and Rota–Baxter Operators
- A unified algebraic approach to the classical Yang–Baxter equation
- Cohomology and deformations in graded Lie algebras
- Homotopy Associativity of H-Spaces. I
- Cohomology Theory of Lie Groups and Lie Algebras
- The L∞-deformations of associative Rota–Baxter algebras and homotopy Rota–Baxter operators
- Algebraic Operads
- Homotopy Rota-Baxter operators and post-Lie algebras