File:E8Hasse.svg

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file(SVG file, nominally 1,674 × 1,841 pixels, file size: 2.32 MB)

Summary

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

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • 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.
GNU head 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.
You may select the license of your choice.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current18:17, 2 June 2013Thumbnail for version as of 18:17, 2 June 20131,674 × 1,841 (2.32 MB)Jgmoxnessbetter edge colors and added Dynkin diagram
20:30, 1 June 2013Thumbnail for version as of 20:30, 1 June 20131,674 × 1,841 (2.85 MB)Jgmoxnessadd root vector data and edge labels
22:45, 20 November 2010Thumbnail for version as of 22:45, 20 November 2010200 × 432 (377 KB)Jgmoxnessbetter version w/root node references
13:42, 2 August 2010Thumbnail for version as of 13:42, 2 August 2010126 × 432 (179 KB)JgmoxnessBetter
13:32, 2 August 2010Thumbnail for version as of 13:32, 2 August 2010398 × 1,010 (193 KB)Jgmoxness{{Information |Description={{en|1=E8 Hasse Diagram}} |Source={{own}} |Author=Jgmoxness |Date= |Permission= |other_versions= }} Category:Geometry diagrams
The following pages on the English Wikipedia use this file (pages on other projects are not listed):

Global file usage

The following other wikis use this file:

Metadata