File:E8Hasse.svg
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Size of this PNG preview of this SVG file: 545 × 599 pixels. Other resolutions: 218 × 240 pixels | 436 × 480 pixels | 698 × 768 pixels | 931 × 1,024 pixels | 1,862 × 2,048 pixels | 1,674 × 1,841 pixels.
Original file (SVG file, nominally 1,674 × 1,841 pixels, file size: 2.32 MB)
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Summary
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| Description |
English: E8 Hasse Diagram. This is constructed from VisibLie_Dynkin found on TheoryOfEverything.org. The vertices (nodes) have numbered root vector references (see chart on the left) and edge labels identify the added root position vector used to generate the next higher node. This also includes reference data such as the generating Cartan matrix and root vector weights. The color of the edge is assigned based on the color of the Dynkin node with the same number as the simple root added. The Cartan Matrix row is the same as the weight of the simple root vector number. The assignment of the Dynkin node number here is based on the off diagonal row and column where the Cartan Matrix entry is changed from 0. |
| Source | Own work |
| Author | Jgmoxness |
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I, the copyright holder of this work, hereby publish it under the following licenses:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
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- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
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- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 18:17, 2 June 2013 | | 1,674 × 1,841 (2.32 MB) | Jgmoxness (talk | contribs) | better edge colors and added Dynkin diagram |
| 20:30, 1 June 2013 |  | 1,674 × 1,841 (2.85 MB) | Jgmoxness (talk | contribs) | add root vector data and edge labels | |
| 22:45, 20 November 2010 |  | 200 × 432 (377 KB) | Jgmoxness (talk | contribs) | better version w/root node references | |
| 13:42, 2 August 2010 |  | 126 × 432 (179 KB) | Jgmoxness (talk | contribs) | Better | |
| 13:32, 2 August 2010 |  | 398 × 1,010 (193 KB) | Jgmoxness (talk | contribs) | {{Information |Description={{en|1=E8 Hasse Diagram}} |Source={{own}} |Author=Jgmoxness |Date= |Permission= |other_versions= }} Category:Geometry diagrams |
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