The Hopf algebra of integer binary relations

DOI10.4171/204-1/8zbMath1457.16035arXiv1807.03277OpenAlexW2868976174MaRDI QIDQ776420

Vincent Pilaud, Viviane Pons

Publication date: 9 July 2020

Full work available at URL: https://arxiv.org/abs/1807.03277

zbMATH Keywords

Hopf algebrabialgebraChapoton algebraLoday-Ronco algebraMalvenuto-Reutenauer algebra

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Bialgebras (16T10) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)

Related Items (1)

Algebraic structures on integer posets

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Permutation statistics and linear extensions of posets
• Hopf algebra of the planar binary trees
• The weak order on integer posets
• Duality between quasi-symmetric functions and the Solomon descent algebra
• Hopf algebras of permutahedra, associahedra and hypercubes
• Counting smaller elements in the Tamari and \(m\)-Tamari lattices
• Cambrian Hopf algebras
• Weak Bruhat order on the set of faces of the permutohedron and the associahedron.
• On the structure of cofree Hopf algebras
• The facial weak order and its lattice quotients
• Permutrees

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