The origin of the commutator

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  1. Michael Penn
  2. math
  3. mathematics
  4. number theory
  5. abstract algebra
  6. calculus
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Комментарии
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YES!! FINALLY MORE LIE GROUP/MANIFOLD VIDEOS! literally it makes my entire week when I see you post an advanced math topic like this on the main channel. Thanks!!

lexinwonderland
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Chalk is getting out of control with the dastardliness.

Reliquancy
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Hi dear Professor, I have a topic that might interest you and I would like to see a video about it:
PROVE THAT FOR EVERY REAL NUMBER NOT A MULTIPLE OF 2 CONTAINS IN ITS DECOMPOSITION AT LEAST ONE ODD NUMBER

gbessinpenieleliezerhoumba
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How do you know how to differentiate the curves in the group? If the group is a matrix group, then I know how to differentiate because I know how to subtract matrices. But if it's not a matrix group, then how do you differentiate?

nathanborak
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At 11:30 what does Michael meen by "a curve in the tangent space"? I can understand a curve in G (namely A(s)B(0)Ainv(s), which lies in G), but g is a vector space, so there is no notion of "curves".

jms
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