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

[EmptySpaceEnterprise]

pg 1: @00:11

Introduction; the J function, sl(2), the Jacobi identity;

pg 2: @05:41

sl(2) Lie algebra in a nutshell;

pg 3: @10:07

Jacobi Identity; proof; simpler identity;

pg 4: @13:52

Projective algebra of matrices;

[EmptySpaceEnterprise]

pg 5: @20:20 Review of connection between matrices and points and lines; Projective parametrization of null circle; Important - hyperbolic points are associated to projective trace zero matrices; pg 6: @24:38 Continued review; General formula for reflection; Bracket theorem; the bracket computes the J function; pg 7: @28:46 proof of Bracket theorem; pg 8: @34:42 The meaning of the Jacobi identity;

[TheRealSeus]

"... 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!