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

Lie Groups by M. S. Raghunathan

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source: matsciencechannel    2013年7月24日
Short course on Lie Groups by M.S. Raghunathan

001 Lie Groups by M.S. Raghunathan 1:41:01
002 Lie groups by M S Raghunathan 1:34:44
003 Lie groups by M S Raghunathan 1:37:10
004 Lie groups by M S Raghunathan 1:29:18
005 Lie groups by M S Raghunathan 1:30:47

Lie Groups (Spring 2012) by Erik van den Ban at the University of Utrecht

# playlist of the 32 videos (click the upper-left icon of the video)

source: It's so blatant    2013年9月9日
The aim of this course is to give a thorough introduction to the theory of Lie groups and algebras.
A Lie group is a group with the additional structure of a differentiable manifold for which the group operation is differentiable. The name Lie group comes from the Norwegian mathematician M. Sophus Lie (1842-1899) who was the first to study these groups systematically in the context of symmetries of partial differential equations.
The theory of Lie groups has developed vastly in the course of the previous century. It plays a vital role in the description of symmetries in Physics (quantum physics, elementary particles), Geometry and Topology, and Number Theory (automorphic forms).
The course was given by prof. dr. Erik van den Ban at the University of Utrecht in the spring of 2012. View complete course (Exercises, Recommended literature, etc) at: http://www.staff.science.uu.nl/~ban00101/lie2012/lie2012....

Lec 1 | Lie Groups (Part 1) 46:34 Section 1: Groups
Section 2: Lie groups, definitions and basic properties
The references (section,corallary,lemma,etc) above are given to 2010 version of lecture notes available at: http://www.staff.science.uu.nl/~ban00...