Lie theory and cohomology of relative Rota–Baxter operators

DOI10.1112/jlms.12863arXiv2108.02627OpenAlexW4391436188WikidataQ128893308 ScholiaQ128893308MaRDI QIDQ6200273

No author found.

Publication date: 29 February 2024

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.02627

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Cohomology of Lie (super)algebras (17B56) Yang-Baxter equations and Rota-Baxter operators (17B38)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integrating central extensions of Lie algebras via Lie 2-groups
• The localized longitudinal index theorem for Lie groupoids and the Van Est map
• Van Est isomorphism for homogeneous cochains
• The Weil algebra and the Van Est isomorphism
• What is a classical r-matrix?
• Nonabelian generalized Lax pairs, the classical Yang-Baxter equation and PostLie algebras
• Matched pairs of Lie groups associated to solutions of the Yang-Baxter equations
• Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
• Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes
• Integrability of Lie brackets
• Central extensions of infinite-dimensional Lie groups
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• Rota-Baxter operators on cocommutative Hopf algebras
• Integration and geometrization of Rota-Baxter Lie algebras
• Rota-Baxter groups, skew left braces, and the Yang-Baxter equation
• Representations and cohomologies of relative Rota-Baxter Lie algebras and applications
• Deformations of associative Rota-Baxter operators
• Van Est differentiation and integration
• Deformations and their controlling cohomologies of \(\mathcal{O}\)-operators
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• Deformations and homotopy theory of relative Rota-Baxter Lie algebras
• Rota-Baxter operators on groups
• What a Classical r-Matrix Really Is
• Singularities of Integrable Systems and Algebraic Curves
• Associativity and integrability
• On the Van Est homomorphism for Lie groupoids
• Homotopy Rota-Baxter operators and post-Lie algebras
• Bimodules over relative Rota-Baxter algebras and cohomologies

This page was built for publication: Lie theory and cohomology of relative Rota–Baxter operators