The Hopf algebra of finite topologies and mould composition

DOI10.5802/aif.3100zbMath1431.16036arXiv1503.03820OpenAlexW2963522862MaRDI QIDQ1687885

Frédéric Fauvet, Loïc Foissy, Dominique Manchon

Publication date: 4 January 2018

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.03820

zbMATH Keywords

Hopf algebrasposetsfinite topological spacesmould calculusquasi-orders

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Algebraic aspects of posets (06A11) Connections of Hopf algebras with combinatorics (16T30) Combinatorial aspects of groups and algebras (05E16)

Related Items (8)

Twisted pre-Lie algebras of finite topological spaces ⋮ Doubling twisted pre-Lie algebras of finite topological spaces ⋮ Topological quandles up to four elements ⋮ Amplitudes, Hopf algebras and the colour-kinematics duality ⋮ The Baker-Campbell-Hausdorff formula via mould calculus ⋮ Commutative and non-commutative bialgebras of quasi-posets and applications to Ehrhart polynomials ⋮ The incidence comodule bialgebra of the Baez-Dolan construction ⋮ Doubling bialgebras of finite topologies

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