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Yes, and this is how you rotate a spinor. I believe E. Cartan, Dirac and Weyl had a fair bit of playing around with that one too.
Well the spinor would need the pauli generators, of which this is only one
What do you think L in your post above is ;)
I had to make the correction haha.. wait.. so spinors rotate as the square root of the 3D rotation matrices? All that's changed is the factor of 1/2
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Consider the 2D rotation matrix R(θ)
The Inverse of 𝑅(θ) is just "undoing" the rotation by θ
Note that the last property 𝑅ⁿ(θ) = 𝑅(𝑛θ) is eerily similar to the "de Moivre property" .
