## 2017-09-02

### Matrix Lie Groups by James Cook at Liberty University

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source: James Cook     2016年1月19日
Matrix Lie Groups
You might also call this a course in Naive Lie Groups. The focus is on matrix group examples and a minimum of background in topology and manifold theory is needed. In particular, we follow Stillwell's text "Naïve Lie Groups"

Matrix Lie Groups: Lecture 1 part 1: complex and quaternions 59:51 We are working through Stillwell's Naive Lie Groups. There is a second part to this.
Lecture 1 part 2: complex and quaternion 25:38
Lecture 2 part 1: more quarternions, group theory 59:51
Lecture 2 part 2: more quarternions, group theory 28:25
Feb 1, chapter 2 (part 1) 59:51
Feb 1, chapter 2 and isometries over R,C and H (part 2) 31:21
Feb 8, chapter 3 path connectedness for SO(n) and SU(2) (part 1) 59:51
Feb 8, chapter 3 path connectedness for SO(n) and SU(2) (part 2) 27:36
Feb 22, Lie Groups and tangent space at I (part 1) 59:51
Feb 22, Lie Groups and tangent space at I (part 2) 34:54
March 8, what is the logarithm (part 1) 59:51
March 8, what is the logarithm (part 2) 29:27
March 21, on the derivative of a homomorphism 30:27
March 30, adjoint and Lie Algebra (part 1) 59:51
March 30, adjoint and Lie Algebra (part 2) 32:01
April 4, Lie algebra example, 2nd order BCH (part 1) 59:51
April 4, Lie algebra example, 2nd order BCH (part 2) 25:49
April 11, BCH identity (part 1) 59:51
April 11, BCH identity (part 2) 18:56
April 18, calculation of BCH (part 1) 59:51
April 18, BCH calculation (part 2) 30:21
universal covers and Lie's Theorem, April 25 (part 1) 59:51
covering groups and Lie's Theorem, April 25 (part 2) 12:57
May 2, group orbits and homogeneous space (part 1) 59:51
May 2, group orbits and homogeneous space (part 2) 36:08