Category:Root systems
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The article Root systems on Wikipedia projects: - (ar) نظام جذري
- (de) Wurzelsystem
- (fr) Système de racines
- (hu) Gyökrendszer
- (ru) Корневая система
- (zh) 根系
English: A Root system in mathematics is a configuration of vectors in a Euclidean space satisfying certain geometrical properties. They are classified by Dynkin diagrams.
geometric arrangements of points, foundational to Lie theory | |||||
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Subcategories
This category has the following 2 subcategories, out of 2 total.
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- Root system Hasse diagrams (22 F)
Media in category "Root systems"
The following 139 files are in this category, out of 139 total.
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1 22 polytope 2D using H3 basis.png 1,531 × 1,531; 502 KB
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4 21 polytope 2D using H3 basis.png 1,531 × 1,531; 607 KB
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A 2 lattice and hyperplanes.png 12,589 × 10,143; 1.1 MB
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A2 Weyl group (revised).png 360 × 329; 18 KB
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A3vzome.jpg 672 × 605; 41 KB
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A4-vs-H3-basis-compare.png 1,839 × 406; 31 KB
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B2 root diagram BC2plane.svg 1,600 × 1,600; 1 KB
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B3 root diagram BC2plane.svg 1,600 × 1,600; 2 KB
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B3 root diagram BC3plane.svg 1,600 × 1,600; 3 KB
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B4 root diagram A3plane.svg 1,600 × 1,600; 3 KB
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B4 root diagram BC2plane.svg 1,600 × 1,600; 2 KB
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B4 root diagram BC3plane.svg 1,600 × 1,600; 3 KB
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B4 root diagram BC4plane.svg 1,600 × 1,600; 9 KB
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B4 root diagram F4plane.svg 1,600 × 1,600; 9 KB
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B5 root diagram A3plane.svg 1,600 × 1,600; 4 KB
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B5 root diagram BC2plane.svg 1,600 × 1,600; 2 KB
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B5 root diagram BC3plane.svg 1,600 × 1,600; 4 KB
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B5 root diagram BC4plane.svg 1,600 × 1,600; 13 KB
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B5 root diagram BC5plane.svg 1,600 × 1,600; 20 KB
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B5 root diagram F4plane.svg 1,600 × 1,600; 13 KB
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B6 root diagram A3plane.svg 1,600 × 1,600; 4 KB
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B6 root diagram A5plane.svg 1,600 × 1,600; 7 KB
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B6 root diagram BC2plane.svg 1,600 × 1,600; 2 KB
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B6 root diagram BC3plane.svg 1,600 × 1,600; 4 KB
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B6 root diagram BC4plane.svg 1,600 × 1,600; 13 KB
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B6 root diagram BC5plane.svg 1,600 × 1,600; 25 KB
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B6 root diagram BC6plane.svg 1,600 × 1,600; 35 KB
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B6 root diagram F4plane.svg 1,600 × 1,600; 13 KB
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B7 root diagram A3plane.svg 1,600 × 1,600; 4 KB
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B7 root diagram A5plane.svg 1,600 × 1,600; 7 KB
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B7 root diagram BC2plane.svg 1,600 × 1,600; 2 KB
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B7 root diagram BC3plane.svg 1,600 × 1,600; 4 KB
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B7 root diagram BC4plane.svg 1,600 × 1,600; 13 KB
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B7 root diagram BC5plane.svg 1,600 × 1,600; 26 KB
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B7 root diagram BC6plane.svg 1,600 × 1,600; 40 KB
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B7 root diagram BC7plane.svg 1,600 × 1,600; 61 KB
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B7 root diagram F4plane.svg 1,600 × 1,600; 13 KB
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B8 root diagram A3plane.svg 1,600 × 1,600; 4 KB
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B8 root diagram A5plane.svg 1,600 × 1,600; 7 KB
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B8 root diagram A7plane.svg 1,600 × 1,600; 18 KB
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B8 root diagram BC2plane.svg 1,600 × 1,600; 2 KB
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B8 root diagram BC3plane.svg 1,600 × 1,600; 4 KB
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B8 root diagram BC4plane.svg 1,600 × 1,600; 13 KB
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B8 root diagram BC5plane.svg 1,600 × 1,600; 26 KB
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B8 root diagram BC6plane.svg 1,600 × 1,600; 41 KB
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B8 root diagram BC7plane.svg 1,600 × 1,600; 72 KB
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B8 root diagram BC8plane.svg 1,600 × 1,600; 95 KB
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B8 root diagram F4plane.svg 1,600 × 1,600; 13 KB
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Base for the G2 root system.png 360 × 363; 15 KB
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C2 root diagram BC2plane.svg 1,600 × 1,600; 1 KB
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C3 root diagram BC2plane.svg 1,600 × 1,600; 2 KB
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C3 root diagram BC3plane.svg 1,600 × 1,600; 3 KB
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C4 root diagram A3plane.svg 1,600 × 1,600; 3 KB
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C4 root diagram BC2plane.svg 1,600 × 1,600; 3 KB
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C4 root diagram BC3plane.svg 1,600 × 1,600; 4 KB
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C4 root diagram BC4plane.svg 1,600 × 1,600; 9 KB
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C4 root diagram F4plane.svg 1,600 × 1,600; 9 KB
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C5 root diagram A3plane.svg 1,600 × 1,600; 5 KB
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C5 root diagram BC2plane.svg 1,600 × 1,600; 3 KB
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C5 root diagram BC3plane.svg 1,600 × 1,600; 5 KB
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C5 root diagram BC4plane.svg 1,600 × 1,600; 14 KB
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C5 root diagram BC5plane.svg 1,600 × 1,600; 20 KB
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C5 root diagram F4plane.svg 1,600 × 1,600; 14 KB
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C6 root diagram A3plane.svg 1,600 × 1,600; 5 KB
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C6 root diagram A5plane.svg 1,600 × 1,600; 8 KB
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C6 root diagram BC2plane.svg 1,600 × 1,600; 3 KB
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C6 root diagram BC3plane.svg 1,600 × 1,600; 5 KB
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C6 root diagram BC4plane.svg 1,600 × 1,600; 16 KB
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C6 root diagram BC5plane.svg 1,600 × 1,600; 28 KB
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C6 root diagram BC6plane.svg 1,600 × 1,600; 36 KB
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C6 root diagram F4plane.svg 1,600 × 1,600; 16 KB
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C7 root diagram A3plane.svg 1,600 × 1,600; 5 KB
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C7 root diagram A5plane.svg 1,600 × 1,600; 9 KB
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C7 root diagram BC2plane.svg 1,600 × 1,600; 3 KB
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C7 root diagram BC3plane.svg 1,600 × 1,600; 5 KB
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C7 root diagram BC4plane.svg 1,600 × 1,600; 16 KB
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C7 root diagram BC5plane.svg 1,600 × 1,600; 30 KB
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C7 root diagram BC6plane.svg 1,600 × 1,600; 45 KB
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C7 root diagram BC7plane.svg 1,600 × 1,600; 61 KB
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C7 root diagram F4plane.svg 1,600 × 1,600; 16 KB
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C8 root diagram A3plane.svg 1,600 × 1,600; 5 KB
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C8 root diagram A5plane.svg 1,600 × 1,600; 9 KB
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C8 root diagram A7plane.svg 1,600 × 1,600; 17 KB
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C8 root diagram BC2plane.svg 1,600 × 1,600; 3 KB
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C8 root diagram BC3plane.svg 1,600 × 1,600; 5 KB
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C8 root diagram BC4plane.svg 1,600 × 1,600; 16 KB
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C8 root diagram BC5plane.svg 1,600 × 1,600; 30 KB
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C8 root diagram BC6plane.svg 1,600 × 1,600; 46 KB
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C8 root diagram BC7plane.svg 1,600 × 1,600; 78 KB
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C8 root diagram BC8plane.svg 1,600 × 1,600; 95 KB
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C8 root diagram F4plane.svg 1,600 × 1,600; 16 KB
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D6-to-H3-hulla.png 1,256 × 1,262; 1.84 MB
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E6 graph.svg 800 × 800; 7 KB
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E6-roots.png 701 × 424; 17 KB
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E7 graph.svg 800 × 800; 21 KB
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E8 - Flickr - jared.jpg 3,000 × 3,000; 2.59 MB
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E8 edgeoverlap-eight.png 2,019 × 1,005; 173 KB
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E8 edgeoverlap.png 1,276 × 953; 445 KB
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E8 graph.svg 800 × 800; 110 KB
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E8 sqrt6 full.svg 512 × 512; 980 KB
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E8.png 600 × 600; 430 KB
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E8a.JPG 600 × 600; 41 KB
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E8Petrie AllEdges.svg 512 × 512; 3.88 MB
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E8Petrie with color 3D vertices.svg 1,476 × 1,449; 1.66 MB
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E8Petrie.svg 2,852 × 2,863; 1.18 MB
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E8theory.svg 769 × 769; 170 KB
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F4 roots A2plane.svg 800 × 800; 12 KB
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F4 roots A3plane.svg 800 × 800; 13 KB
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F4 roots B4plane.svg 800 × 800; 14 KB
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F4 roots F4plane.svg 800 × 800; 14 KB
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G2 affine chamber.svg 320 × 320; 36 KB
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Illustration of notion of "higher" for root systems.png 353 × 432; 14 KB
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Infinite dihedral group.png 7,950 × 7,420; 83 KB
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Integrality of root systems.svg 750 × 400; 10 KB
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Integrality-of-root-system.png 568 × 583; 4 KB
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Kostant partition function for A2.png 360 × 379; 15 KB
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Noncrystallographic root systems as foldings.png 664 × 710; 35 KB
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RankTwoRootSystems.png 400 × 100; 2 KB
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Root system A1xA1.svg 600 × 600; 2 KB
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Root system A1xA1xA1.png 632 × 663; 48 KB
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Root system A2 with labels.png 2,000 × 2,000; 163 KB
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Root system A2.svg 600 × 600; 2 KB
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Root system A2xA1.png 429 × 363; 19 KB
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Root system B2.svg 600 × 600; 2 KB
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Root system C2 (fixed).svg 600 × 600; 2 KB
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Root system C2.svg 600 × 600; 4 KB
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Root system D2.svg 600 × 600; 4 KB
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Root system G2.svg 600 × 600; 3 KB
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Root vectors b3 c3-d3.png 744 × 253; 16 KB
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Root vectors b3 c3.png 489 × 253; 13 KB
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Root-system-A1xA1.png 408 × 391; 3 KB
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Root-system-A2-v1.png 369 × 352; 3 KB
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Root-system-B2.png 510 × 407; 4 KB
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Root-system-G2.png 582 × 607; 7 KB
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Tomruen modern mandala test.svg 800 × 800; 344 KB
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Verma module example2.png 360 × 353; 12 KB
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Weights for A2 root system.png 360 × 312; 24 KB
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Weyl chambers for A2.png 360 × 313; 14 KB
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Weyl group for A2.png 360 × 413; 17 KB
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