The \(s\)-weak order and \(s\)-permutahedra

zbMath1446.05094MaRDI QIDQ2306552

Viviane Pons, Cesar Ceballos

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2019//76.html

zbMATH Keywords

weak orderpermutahedronassociahedronTamari lattice

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Combinatorics of partially ordered sets (06A07) Combinatorial aspects of simplicial complexes (05E45)

Related Items (7)

Hochschild lattices and shuffle lattices ⋮ $F$- and $H$-triangles for $\nu$-associahedra ⋮ Three Fuss-Catalan posets in interaction and their associative algebras ⋮ \(F\)- and \(H\)-triangles for \(\nu \)-associahedra ⋮ Three interacting families of Fuss-Catalan posets ⋮ Poset topology of \(s\)-weak order via SB-labelings ⋮ Framed matrices and \(A_{\infty}\)-bialgebras

Cites Work

• Rational associahedra and noncrossing partitions
• Associahedra, Tamari lattices and related structures. Tamari memorial Festschrift
• The \(\nu \)-Tamari lattice via \(\nu \)-trees, \( \nu \)-bracket vectors, and subword complexes
• Signature Catalan combinatorics
• Realizations of the associahedron and cyclohedron
• A lattice on decreasing trees : the metasylvester lattice
• Geometry of $\nu $-Tamari lattices in types $A$ and $B$

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