Cohomology and deformations of weighted Rota–Baxter operators

DOI10.1063/5.0093066OpenAlexW4296603601MaRDI QIDQ5884862

No author found.

Publication date: 24 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.05411

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Related Items (4)

Extensions and automorphisms of Rota-Baxter groups ⋮ Cohomology of Lie algebra morphism triples and some applications ⋮ Cohomologies of Rota-Baxter Lie triple systems and applications ⋮ Deformations and cohomology theory of Rota-Baxter 3-Lie algebras of arbitrary weights

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rota-Baxter systems, dendriform algebras and covariant bialgebras
• An analytic problem whose solution follows from a simple algebraic identity
• Nonabelian generalized Lax pairs, the classical Yang-Baxter equation and PostLie algebras
• Quantum analogy of Poisson geometry, related dendriform algebras and Rota-Baxter operators
• Simple finite-dimensional double algebras
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• Integration and geometrization of Rota-Baxter Lie algebras
• Deformations of associative Rota-Baxter operators
• Weighted infinitesimal unitary bialgebras on rooted forests and weighted cocycles
• The cohomology structure of an associative ring
• Deformations and their controlling cohomologies of \(\mathcal{O}\)-operators
• On the structure of free Baxter algebras
• Higher derived brackets and homotopy algebras
• Some aspects of Baxter's functional equation
• On the deformation of rings and algebras
• What a Classical r-Matrix Really Is
• Rota–Baxter operators of nonzero weight on the matrix algebra of order three
• Twisted Rota–Baxter operators and Reynolds operators on Lie algebras and NS-Lie algebras
• Rota-Baxter operators on unital algebras
• Splitting of Operations, Manin Products, and Rota–Baxter Operators
• Some properties of baxter operators
• Baxter algebras and combinatorial identities. I
• Pre-Poisson algebras

This page was built for publication: Cohomology and deformations of weighted Rota–Baxter operators