Infinitesimal and \(B_{\infty}\)-algebras, finite spaces, and quasi-symmetric functions

DOI10.1016/j.jpaa.2015.11.014zbMath1390.16032arXiv1403.7488OpenAlexW2126161787MaRDI QIDQ908337

Claudia Malvenuto, Frédéric Patras, Loïc Foissy

Publication date: 4 February 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7488

zbMATH Keywords

\(B_{\infty}\)-algebrasgraded permutationsSchur-Weyl categories

Mathematics Subject Classification ID

Related Items (10)

Twisted pre-Lie algebras of finite topological spaces ⋮ A Faà di Bruno subalgebra of the graded dual of word symmetric functions ⋮ The Hopf algebra of finite topologies and mould composition ⋮ Doubling twisted pre-Lie algebras of finite topological spaces ⋮ Commutative and non-commutative bialgebras of quasi-posets and applications to Ehrhart polynomials ⋮ A theory of pictures for quasi-posets ⋮ The incidence comodule bialgebra of the Baez-Dolan construction ⋮ Doubling bialgebras of finite topologies ⋮ Realizations of Hopf algebras of graphs by alphabets ⋮ The Hopf algebra of finite topologies and \(T\)-partitions.

Uses Software

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Cites Work

• Unnamed Item
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• Foldings in graphs and relations with simplicial complexes and posets
• Strong homotopy types, nerves and collapses
• Minimal finite models
• Counting finite posets and topologies
• A Leray theorem for the generalization to operads of Hopf algebras with divided powers
• The descent algebra of a graded bialgebra
• Duality between quasi-symmetric functions and the Solomon descent algebra
• Dendriform equations
• Algebraic topology of finite topological spaces and applications
• The Hopf algebra of finite topologies and \(T\)-partitions.
• A rigidity theorem for pre-Lie algebras
• Singular homology groups and homotopy groups of finite topological spaces
• On the number of open sets of finite topologies
• On the Pontryagin product in spaces of paths
• NATURAL ENDOMORPHISMS OF SHUFFLE ALGEBRAS
• On the structure of cofree Hopf algebras
• Combinatorial Hopf algebras and generalized Dehn–Sommerville relations
• A symmetric version of Kontsevich graph complex and Leibniz homology
• Algèbre des descentes et cogroupes dans les algèbres sur une opérade
• Natural endomorphisms of quasi-shuffle Hopf algebras
• On Co-Groups in the Category of Graded Algebras
• Finite Topological Spaces
• Cardinality of finite topologies
• Homotopy Type Comparison of a Space with Complexes Associated with its Open Covers
• Ordered structures and partitions
• A Cartier-Milnor-Moore-Quillen theorem for the dendriform bigebras and the brace algebras

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