A bit of a tangent but its ironic that it took William Rowan Hamilton decades to invent quaternions but Pauli re-invented them in about a week when he needed them to describe spin in QM.
So we call L the generator of the rotation group SO(2). In Quantum Mechanics, L is the angular momentum operator. This is why we call angular momentum the "generator of rotations".pic.twitter.com/nZdXEDpfyP
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Right.. but Pauli didn't know that's what he was doing, and almost certainly didn't make the abstract connection
End of conversation
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