Extending the Tamari Lattice to Some Compositions of Species

DOI10.1007/978-3-0348-0405-9_10zbMath1284.06006arXiv1109.6687OpenAlexW2142389211MaRDI QIDQ4910066

Stefan Forcey

Publication date: 25 March 2013

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6687

zbMATH Keywords

Boolean latticeHopf algebramultiplihedracomposihedracomposition of combinatorial speciesextensions of the Tamari lattice

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Combinatorial aspects of representation theory (05E10) Combinatorics of partially ordered sets (06A07) Connections of Hopf algebras with combinatorics (16T30)

Related Items (4)

Lattices from graph associahedra and subalgebras of the Malvenuto-Reutenauer algebra ⋮ From the Tamari Lattice to Cambrian Lattices and Beyond ⋮ Generalized Tamari Order ⋮ Lattices from graph associahedra

Cites Work

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• Structure of the Loday-Ronco Hopf algebra of trees.
• Convex hull realizations of the multiplihedra
• Coxeter complexes and graph-associahedra
• \(H\)-spaces from a homotopy point of view
• Hopf Structures on the Multiplihedra
• Monoidal Functors, Species and Hopf Algebras
• From the Tamari Lattice to Cambrian Lattices and Beyond
• Homotopy Associativity of H-Spaces. I

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