Lie Groups, Algebras, and Brackets - Visual Introduction to Lie Theory

Lie Groups, Algebras, and Brackets - Visual Introduction to Lie Theory

Mathemaniac via YouTube Direct link

Why study Lie theory? | Lie groups, algebras, brackets #1

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1 of 6

Why study Lie theory? | Lie groups, algebras, brackets #1

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Lie Groups, Algebras, and Brackets - Visual Introduction to Lie Theory

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  1. 1 Why study Lie theory? | Lie groups, algebras, brackets #1
  2. 2 How to rotate in higher dimensions? Complex dimensions? | Lie groups, algebras, brackets #2
  3. 3 What is Lie theory? Here is the big picture. | Lie groups, algebras, brackets #3
  4. 4 Can we exponentiate d/dx? Vector (fields)? What is exp? | Lie groups, algebras, brackets #4
  5. 5 Matrix trace isn't just summing the diagonal | Lie groups, algebras, brackets #5
  6. 6 Lie algebras visualized: why are they defined like that? Why Jacobi identity?

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