The facial weak order and its lattice quotients

DOI10.1090/tran/7307zbMath1375.05270arXiv1602.03158OpenAlexW2962874256MaRDI QIDQ4596360

Christophe Hohlweg, Vincent Pilaud, Aram Dermenjian

Publication date: 1 December 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03158

zbMATH Keywords

Coxeter complexweak orderassociahedraCambrian latticeslattice quotientspermutahedra

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Geometric group theory (20F65) Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Logical aspects of lattices and related structures (03G10)

Related Items

Congruence normality of simplicial hyperplane arrangements via oriented matroids ⋮ Algebraic structures on integer posets ⋮ A singular Coxeter presentation ⋮ The continuous weak order ⋮ Skew metrics valued in Sugihara semigroups ⋮ Lattices from graph associahedra and subalgebras of the Malvenuto-Reutenauer algebra ⋮ The weak order on integer posets ⋮ The Weak Order on Weyl Posets ⋮ Permutrees ⋮ Oriented flip graphs of polygonal subdivisions and noncrossing tree partitions ⋮ The facial weak order on hyperplane arrangements ⋮ A simplicial complex splitting associativity ⋮ The Hopf algebra of integer binary relations ⋮ Non-kissing complexes and tau-tilting for gentle algebras

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