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Coxeter complex

In mathematics, the Coxeter complex, named after H. S. M. Coxeter, is a geometrical structure (a simplicial complex) associated to a Coxeter group. Coxeter complexes are the basic objects that allow the construction of buildings; they form the apartments of a building.

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Construction

4 related topics

Examples

2 related topics

Alternative construction of the Coxeter complex

2 related topics

Properties

2 related topics

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Overview

Construction

Examples

Alternative construction of the Coxeter complex

Properties

Sources

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Map overview Semantic statistics

Coxeter complex

Nodes22
Edges21
Triples17
Avg. degree1.91
Density0.090909
Components1

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Coxeter complex

Top relations

related to Alternative construction of the Coxeter complex · 6
Coxeter complex → Another, Coxeter, For, Sigma, The Coxeter, This
related to Properties · 5
Coxeter complex → Coxeter, Every, It, The Coxeter, Tits
related to The canonical linear representation · 4
Coxeter complex → Coxeter, In, Let, The
related to The Coxeter complex · 2
Coxeter complex → Sigma, The Coxeter

Important terminology Word statistics

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Important terminology

displaystyle coxeter complex group representation canonical dihedral given langle rangle case associated form buildings tits infinite construction positive reflection dual

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Coxeter complexrelated to Alternative construction of the Coxeter complexAnother0.60section
Coxeter complexrelated to Alternative construction of the Coxeter complexCoxeter0.60section
Coxeter complexrelated to Alternative construction of the Coxeter complexFor0.60section
Coxeter complexrelated to Alternative construction of the Coxeter complexThe Coxeter0.60section
Coxeter complexrelated to Alternative construction of the Coxeter complexSigma0.60section
Coxeter complexrelated to Alternative construction of the Coxeter complexThis0.60section
Coxeter complexrelated to PropertiesThe Coxeter0.60section
Coxeter complexrelated to PropertiesIt0.60section
Coxeter complexrelated to PropertiesEvery0.60section
Coxeter complexrelated to PropertiesTits0.60section
Coxeter complexrelated to PropertiesCoxeter0.60section
Coxeter complexrelated to The canonical linear representationThe0.60section

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