Alert icon
We're changing our privacy policy. This stuff matters.  Learn more  Dismiss

UnivHypGeom19: The J function, sl(2) and the Jacobi identity

Loading...

Sign in or sign up now!
Alert icon
Upgrade to the latest Flash Player for improved playback performance. Upgrade now or more info.
911 views
Loading...
Alert icon
Sign in or sign up now!
Alert icon

Uploaded by on Jun 19, 2011

We review the basic connection between hyperbolic points and matrices, and connect the J function, which computes the joins of points or the meets of lines, with the Lie bracket of 2x2 matrices. This connects with the Lie algebra called sl(2) in the projective setting. The Jacobi identity then gives a new proof of the concurrence of the altitudes of a triangle, in other words the existence of the orthocenter.

  • likes, 0 dislikes

Link to this comment:

Share to:
see all

All Comments (1)

Sign In or Sign Up now to post a comment!
  • "... physics and other branches of mathematics" i knew it: mathematics > physics :)

    or in other words: reality is just one of many things we can imagine

    btw: thanks for all your videos on youtube, keeping me close to subjects of mathematics. a big treasure for those who lost connection with academic life but still are interested!

Loading...

Alert icon
0 / 00Unsaved Playlist Return to active list
    1. Your queue is empty. Add videos to your queue using this button:
      or sign in to load a different list.
    Loading...Loading...Saving...
    • Clear all videos from this list
    • Learn more