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How to proof the following equation: $$Diag(U^*PU)_{qq}=\sum_{l,m=0}U_{lq}P_{lm}U_{mq}$$

I could work out the $$(U^*PU)_{qq}$$ part, but could not understant the diag means? Thank you!

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    Diag stands for diagonal. These are the diagonal entries of $U^*PU$.2017-01-24
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    Thanks, but why it's the diagonal entries of $$U^*PU$$2017-01-24
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    The $qq$ matrix elements are on the diagonal.2017-01-24
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    Ohhh, I see. Thank you!2017-01-25

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