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[XylyXylyX] Lie Groups and Lie Algebras

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Lesson 1 - Prerequisites

14:24

Lesson 2 - Quaternions

44:46

Lesson 3 - Classical Groups Part I

37:48

Lesson 4 - The Classical Groups Part II

44:59

Lesson 5 - The Classical Groups Part III

26:13

Lesson 6 (redux) -The classical groups part IV

36:40

Lesson 7 - The Classical Groups Part V

25:01

Lesson 8 - the Classical Groups part VI

47:14

Lesson 9 - The Classical Groups Part VII

32:01

Lesson 10 - The Classical Groups part VIII

49:46

Lesson 11 - The Classical Groups Part IX

42:02

Lesson 12 - The Classical Groups Part X (redux)

33:00

Lesson 13 - Continuous Groups defined

39:41

Lesson 14 - Continuous Groups of Transformations

43:59

Lesson 15-Example of a Continuous Group

37:40

Lesson 16 - representations, connectedness, definition of Lie Group

41:18

Lesson 17 - Reparameterization

26:11

Lesson 18- Group Generators

57:32

Lesson 19 - Infinitesimal transformation example

30:59

Lesson 20 - Finite transformation example

27:05

Lesson 21 - Factor Groups (OPTIONAL)

01:03:55

Lesson 22 - Lie Group Generators

24:13

Lesson 23 - Matrix group generators

35:27

Lesson 24 - Putting Matrix Group Generators to work

34:40

Lesson 25 - the commutator and the Lie Algebra

49:52

Lesson 26 - Review!

44:18

Lesson 27 - Structure constants and an introduction to su(2,C)

47:09

Lesson 28 - SU(2) from su(2)

01:01:01

Lesson 29 - SO(3) from so(3)

55:28

Lesson 30 - SL(1,Q) from sl(1,Q)

46:39

Lesson 31 - U(2,C) and GL(1,Q)

18:20

Lesson 32 - Parameters Space and Compactness

45:56

Lesson 33 - Recap of Parameter spaces (with fix at 10_32)

29:56

Lesson 34 -Introduction to Homotopy

50:56

Lesson 35 - The Fundamental Group

45:17

Lesson 36 - Review of continuity and homeomorphisms

44:03

Lesson 37 - The Fundamental Groups of SU(2) and SO(3)

48:05

Lesson 38 - Preparation for the concept of a Universal Covering Group

44:41

Lesson 39 - The Universal Covering Group

52:20

Lesson 40 - SU(2) as Universal Covering Group

25:31

Lesson 41 - Elementary Representation Theory I

46:30

Lesson 42 Group Theory Review #1

49:06

Lesson 43 Group Theory Review #2 (improved video quality)

43:31

Lesson 44 Group Theory Review #3 (corrected!)

58:42

Lesson 45 Group Theory Review #4

44:55

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