Rota-Baxter operators on cocommutative Hopf algebras

DOI10.1016/j.jalgebra.2021.04.024zbMath1505.17012arXiv2011.14390OpenAlexW3109599425MaRDI QIDQ2029234

M. E. Goncharov

Publication date: 3 June 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.14390

zbMATH Keywords

Hopf algebrasRota-Baxter algebra

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Universal enveloping algebras of Lie algebras (16S30) Hopf algebras, quantum groups and related topics (16T99) Associative rings and algebras with additional structure (16W99) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items (10)

Rota-Baxter operators on Turaev's Hopf group (co)algebras. I: Basic definitions and related algebraic structures ⋮ Twisting theory, relative Rota-Baxter type operators and \(L_\infty\)-algebras on Lie conformal algebras ⋮ Operated groups, differential groups and Rota-Baxter groups with an emphasis on the free objects ⋮ Integral operators on lattices ⋮ Post-Hopf algebras, relative Rota-Baxter operators and solutions to the Yang-Baxter equation ⋮ Rota-Baxter operators on groups ⋮ Lie theory and cohomology of relative Rota–Baxter operators ⋮ Factorizable Lie bialgebras, quadratic Rota-Baxter Lie algebras and Rota-Baxter Lie bialgebras ⋮ Integration and geometrization of Rota-Baxter Lie algebras ⋮ Rota-Baxter groups, skew left braces, and the Yang-Baxter equation

Cites Work

• An analytic problem whose solution follows from a simple algebraic identity
• What is a classical r-matrix?
• Homology of generalized partition posets
• Nonabelian generalized Lax pairs, the classical Yang-Baxter equation and PostLie algebras
• On Rota-Baxter operators of non-zero weight arisen from the solutions of the classical Yang-Baxter equation
• Rota-Baxter operators and non-skew-symmetric solutions of the classical Yang-Baxter equation on quadratic Lie algebras
• On the structure of free Baxter algebras
• Some aspects of Baxter's functional equation
• On the Lie enveloping algebra of a post-Lie algebra
• Rota–Baxter coalgebras and Rota–Baxter bialgebras
• On the Lie enveloping algebra of a pre-Lie algebra
• Solutions of the classical Yang-Baxter equation for simple Lie algebras
• Unnamed Item
• Unnamed Item

This page was built for publication: Rota-Baxter operators on cocommutative Hopf algebras