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Update 2024-07-24-Simultaneous-Matrix-Diagonalization.md
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RituPande authored Sep 2, 2024
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- C_ab = C_a * C_b
- C_a C_b = C_b C_a

Schur's Lemma
- The only relationship that can exist between who irredicuble repressentation is similarity
XR=R'X i.e. $$XRX^{-1} = R'$$
- If a matrix X commutes with all the matrices of a collection of irreducible matrices, i.e XR = RX, for all R's in the collection then it has to be a scalar multiple if identity matix I

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