Your browser does not fully support modern features. Please upgrade for a smoother experience.
Submitted Successfully!
Thank you for your contribution! You can also upload a video entry or images related to this topic. For video creation, please contact our Academic Video Service.
Version Summary Created by Modification Content Size Created at Operation
1 handwiki Vivi Li -- 1386 2022-11-17 01:41:24

Video Upload Options

We provide professional Academic Video Service to translate complex research into visually appealing presentations. Would you like to try it?
No, upload directly Yes
Cite
If you have any further questions, please contact Encyclopedia Editorial Office.
HandWiki. Root System of a Semi-simple Lie Algebra. Encyclopedia. Available online: https://encyclopedia.pub/entry/35013 (accessed on 07 October 2026).
HandWiki. Root System of a Semi-simple Lie Algebra. Encyclopedia. Available at: https://encyclopedia.pub/entry/35013. Accessed October 07, 2026.
HandWiki. "Root System of a Semi-simple Lie Algebra" Encyclopedia, https://encyclopedia.pub/entry/35013 (accessed October 07, 2026).
HandWiki. (2022, November 17). Root System of a Semi-simple Lie Algebra. In Encyclopedia. https://encyclopedia.pub/entry/35013
HandWiki. "Root System of a Semi-simple Lie Algebra." Encyclopedia. Web. 17 November, 2022.
Root System of a Semi-simple Lie Algebra
Edit
The content is sourced from: https://handwiki.org/wiki/Root_system_of_a_semi-simple_Lie_algebra

In mathematics, there is a one-to-one correspondence between reduced crystallographic root systems and semisimple Lie algebras. Here the construction of a root system of a semisimple Lie algebra – and, conversely, the construction of a semisimple Lie algebra from a reduced crystallographic root system – are shown.

crystallographic root system root systems

References

  1. Hall 2015 Theorem 7.23
  2. Hall 2015 Theorem 7.30
  3. Humphreys 1973 Section 18.1
  4. Humphreys 1973 Proposition 18.1
  5. Hall 2015 Equation (7.9)
  6. Humphreys 1973 Section 18.3
  7. Humphreys 1973 Section 18.3
  8. Humphreys 1973 Corollary 16.4
  9. Humphreys 1973 Theorem 14.2
More
©Text is available under the terms and conditions of the Creative Commons-Attribution ShareAlike (CC BY-SA) license; additional terms may apply. By using this site, you agree to the Terms and Conditions and Privacy Policy.
Upload a video for this entry
Information
Subjects: Others
Contributor MDPI registered users' name will be linked to their SciProfiles pages. To register with us, please refer to https://encyclopedia.pub/register :
HandWiki
View Times: 1.2K
Entry Collection: HandWiki
Revision: 1 time (View History)
Update Date: 17 Nov 2022
Table of Contents
    Notice
    You are not a member of the advisory board for this topic. If you want to update advisory board member profile, please contact office@encyclopedia.pub.
    OK
    Confirm
    Only members of the Encyclopedia advisory board for this topic are allowed to note entries. Would you like to become an advisory board member of the Encyclopedia?
    Yes
    No
    ${ textCharacter }/${ maxCharacter }
    Submit
    Cancel
    There is no comment~
    ${ textCharacter }/${ maxCharacter }
    Submit
    Cancel
    ${ selectedItem.replyTextCharacter }/${ selectedItem.replyMaxCharacter }
    Submit
    Cancel
    Confirm
    Are you sure to Delete?
    Yes No
    Academic Video Service
    Feedback