Hopf Structures on the Multiplihedra

DOI10.1137/090776834zbMath1242.16032arXiv0911.2057OpenAlexW2140023045MaRDI QIDQ3013129

Stefan Forcey, Aaron Lauve, Frank J. Sottile

Publication date: 18 July 2011

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.2057

zbMATH Keywords

permutationsHopf modulesbinary treesassociahedramultiplihedraMalvenuto-Reutenauer Hopf algebrasplanar binary treespermutahedraLoday-Ronco Hopf algebras

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Enriched categories (over closed or monoidal categories) (18D20) Connections of Hopf algebras with combinatorics (16T30)

Related Items (5)

Algebraic structures on graph associahedra ⋮ Cofree compositions of coalgebras ⋮ Extending the Tamari Lattice to Some Compositions of Species ⋮ Special idempotents and projections ⋮ On the signature of a path in an operator algebra

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