In physics, this is why we call the derivative operator the "generator of translations"pic.twitter.com/iqJoydnylt
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Well... there's a lot of "physicist stuff" going on there though
lmao not really! this is a common parametrization of an element of a lie group
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Whoops! That wasn't the bit I was concerned about actually, but turns out the bit I was concerned about doesn't exist because i misread that entirely
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(I saw the complaint and my brain immediately thought it was a case of dropping higher order terms freely, my bad)
End of conversation
New conversation -
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In fact Sophus Lie was thinking more about transformation groups and differential invariants than about abstract algebra. What good is a Lie group if it can’t act on anything? Physics is where the “Action” is
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