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- Weyl_distance_function abstract "In combinatorial geometry, the Weyl distance function is a function that behaves in some ways like the distance function of a metric space, but instead of taking values in the positive real numbers, it takes values in a group of reflections, called the Weyl group (named for Hermann Weyl). This distance function is defined on the collection of chambers in a mathematical structure known as a building, and its value on a pair of chambers a minimal sequence of reflections (in the Weyl group) to go from one chamber to the other. An adjacent sequence of chambers in a building is known as a gallery, so the Weyl distance function is a way of encoding the information of a minimal gallery between two chambers. In particular, the number of reflections to go from one chamber to another coincides with the length of the minimal gallery between the two chambers, and so gives a natural metric (the gallery metric) on the building. According to Abramenko & Brown (2008), the Weyl distance function is something like a geometric vector: it encodes both the magnitude (distance) between two chambers of a building, as well as the direction between them.".
- Weyl_distance_function wikiPageExternalLink MDavis.pdf.
- Weyl_distance_function wikiPageID "46578848".
- Weyl_distance_function wikiPageLength "5815".
- Weyl_distance_function wikiPageOutDegree "13".
- Weyl_distance_function wikiPageRevisionID "663415822".
- Weyl_distance_function wikiPageWikiLink Building_(mathematics).
- Weyl_distance_function wikiPageWikiLink Category:Geometric_group_theory.
- Weyl_distance_function wikiPageWikiLink Category:Metric_geometry.
- Weyl_distance_function wikiPageWikiLink Combinatorial_geometry.
- Weyl_distance_function wikiPageWikiLink Coxeter_complex.
- Weyl_distance_function wikiPageWikiLink Discrete_geometry.
- Weyl_distance_function wikiPageWikiLink Distance_function.
- Weyl_distance_function wikiPageWikiLink Empty_product.
- Weyl_distance_function wikiPageWikiLink Euclidean_vector.
- Weyl_distance_function wikiPageWikiLink Geometric_vector.
- Weyl_distance_function wikiPageWikiLink Group_(mathematics).
- Weyl_distance_function wikiPageWikiLink Hermann_Weyl.
- Weyl_distance_function wikiPageWikiLink Metric_(mathematics).
- Weyl_distance_function wikiPageWikiLink Metric_space.
- Weyl_distance_function wikiPageWikiLink Reflection_(mathematics).
- Weyl_distance_function wikiPageWikiLink Weyl_group.
- Weyl_distance_function wikiPageWikiLinkText "Weyl distance function".
- Weyl_distance_function hasPhotoCollection Weyl_distance_function.
- Weyl_distance_function wikiPageUsesTemplate Template:Citation.
- Weyl_distance_function wikiPageUsesTemplate Template:Harv.
- Weyl_distance_function wikiPageUsesTemplate Template:Harvtxt.
- Weyl_distance_function wikiPageUsesTemplate Template:Math.
- Weyl_distance_function subject Category:Geometric_group_theory.
- Weyl_distance_function subject Category:Metric_geometry.
- Weyl_distance_function hypernym Function.
- Weyl_distance_function type ProgrammingLanguage.
- Weyl_distance_function comment "In combinatorial geometry, the Weyl distance function is a function that behaves in some ways like the distance function of a metric space, but instead of taking values in the positive real numbers, it takes values in a group of reflections, called the Weyl group (named for Hermann Weyl).".
- Weyl_distance_function label "Weyl distance function".
- Weyl_distance_function sameAs m.0134_m03.
- Weyl_distance_function wasDerivedFrom Weyl_distance_function?oldid=663415822.
- Weyl_distance_function isPrimaryTopicOf Weyl_distance_function.