Morphisms and order ideals of toric posets

DOI10.3390/math4020039zbMath1375.06004arXiv1501.02239OpenAlexW2243195660MaRDI QIDQ515439

Matthew Macauley

Publication date: 16 March 2017

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02239

zbMATH Keywords

Coxeter grouppartial ordermorphismorder idealcyclic orderorder-preserving mapcyclic reducibilitypreposettoric hyperplane arrangementtoric poset

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Generalizations of ordered sets (06A75)

Cites Work

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• The theory of convex geometries
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• Orientation of signed graphs
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• The closure operators of a lattice
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• Plane Answers to Complex Questions
• Powers of Coxeter elements in infinite groups are reduced
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
• Generalized associahedra via quiver representations
• Conjugacy relation on Coxeter elements

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