Bruhat intervals, subword complexes and brick polyhedra for finite Coxeter groups

DOI10.1007/s00209-023-03267-wzbMath1518.05209arXiv2103.03715OpenAlexW3135369619MaRDI QIDQ6046547

Dennis Jahn, Christian Stump

Publication date: 11 May 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.03715

zbMATH Keywords

Bruhat ordersubword complexcluster complexmulti-triangulationgeneralized associahedronbrick polyhedron

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of groups and algebras (05E16)

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Cites Work

• The brick polytope of a sorting network
• Permutahedra and generalized associahedra.
• Gröbner geometry of Schubert polynomials
• Bruhat intervals, polyhedral cones and Kazhdan-Lusztig-Stanley polynomials
• Subword complexes in Coxeter groups.
• Brick polytopes of spherical subword complexes and generalized associahedra
• Subword complexes, cluster complexes, and generalized multi-associahedra
• EL-Labelings and Canonical Spanning Trees for Subword Complexes
• Combinatorics of Coxeter Groups
• Polytopal Realizations of Generalized Associahedra

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