File:G2 affine chamber.svg
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DescriptionG2 affine chamber.svg |
English: This diagram shows the root system of type G2. Two simple roots are chosen; positive roots then appear as red dots, and negative roots as blue squares.
Shown are the hyperplanes of the form for a root, the hyperplane perpendicular to , and n an integer. These cut the plane into right angled triangles, with fundamental chamber . The walls of this chamber correspond to the fundamental affine roots where for the highest root, and where are a set of simple roots (here ). Self-made using Inkscape.Français : Ce diagramme représente le système de racines de type G2. Deux racines simples et ont été choisies; les racines positives apparaissant alors comme points rouges, et les racines négatives comme carrés bleux.
Apparaissent aussi les hyperplans pour une racine, l'hyperplan perpendiculaire à , et n un entier. Ceux-ci découpent le plan en triangles rectangles, avec chambre fondamentale . Les murs de cette chambre correspondent aux racines affines fondamentales , où pour la plus grande racine, et où forment l'ensemble de racines simples (ici ). Image réalisée par mes soins avec Inkscape. |
Date | |
Source | Own work |
Author | Sam Derbyshire |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 16:53, 14 April 2013 | 320 × 320 (36 KB) | Sam Derbyshire (talk | contribs) | User created page with UploadWizard |
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Width | 320 |
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Height | 320 |