Doubling twisted pre-Lie algebras of finite topological spaces

DOI10.1016/j.geomphys.2023.105000OpenAlexW4386827465MaRDI QIDQ6141324

Mohamed Ali Ayadi, Dominique Manchon

Publication date: 4 January 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2023.105000

zbMATH Keywords

Hopf algebrasbialgebrascomodulesspeciesfinite topological spacesbimonoids

Mathematics Subject Classification ID

Algebraic aspects of posets (06A11) Bialgebras (16T10) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15) Connections of Hopf algebras with combinatorics (16T30)

Cites Work

• Infinitesimal and \(B_{\infty}\)-algebras, finite spaces, and quasi-symmetric functions
• On the Hopf algebraic structure of Lie group integrators.
• Semi-direct products of Hopf algebras
• The Hopf algebra of finite topologies and mould composition
• Doubling bialgebras of finite topologies
• The Hopf algebra of finite topologies and \(T\)-partitions.
• Twisted descent algebras and the Solomon-Tits algebra.
• Connes-Kreimer quantizations and PBW theorems for pre-Lie algebras
• Combinatorial Hopf algebras
• Monoidal Functors, Species and Hopf Algebras
• Lois Pré-Lie En Interaction
• On the Lie enveloping algebra of a pre-Lie algebra
• Twisted pre-Lie algebras of finite topological spaces
• Doubling pre-Lie algebra of rooted trees
• On the pre-Lie algebra of specified Feynman graphs
• Finite Topological Spaces
• Algebraic Operads
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