Doubling pre-Lie algebra of rooted trees

DOI10.1142/S021949882050228XzbMath1451.81329arXiv1912.05787OpenAlexW2981138062WikidataQ114614515 ScholiaQ114614515MaRDI QIDQ5133879

Mohamed Belhaj Mohamed

Publication date: 11 November 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.05787

zbMATH Keywords

enveloping algebraHopf algebrarooted treesbialgebramodule-bialgebrapre-Lie algbera

Mathematics Subject Classification ID

Trees (05C05) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Lie bialgebras; Lie coalgebras (17B62) Bialgebras (16T10) Hopf algebras and their applications (16T05)

Related Items (1)

Doubling twisted pre-Lie algebras of finite topological spaces

Cites Work

• Unnamed Item
• Two interacting Hopf algebras of trees: a Hopf-algebraic approach to composition and substitution of B-series.
• Hopf-algebraic structure of families of trees
• On the Hopf algebraic structure of Lie group integrators.
• Hopf algebras, renormalization and noncommutative geometry
• On the Hopf algebra strucutre of perturbative quantum field theories
• The Hopf algebras of decorated rooted trees. I
• Trees, free right-symmetric algebras, free Novikov algebras and identities
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• Doubling bialgebras of rooted trees
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• Algèbres pré-Lie et algèbres de Hopf liées à la renormalisation
• Lois Pré-Lie En Interaction
• On the Lie enveloping algebra of a pre-Lie algebra
• An Algebraic Theory of Integration Methods

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