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- I am wondering if I am using it correctly

I am wondering if I am using Einstein notation correctly in the following example.

For a matrix ##R## diagonal in ##1##, except for one entry ##-1##, such as ##R = [1,-1,1]##, is it proper to write the following in Einstein notation:

##R_{\alpha} R_{\beta} = \mathbb{1}_{\alpha \beta} ##, such that ##\Gamma_{\alpha} \Gamma_{\beta} = \Gamma_{\alpha} \Gamma_{\beta} \mathbb{1}_{\alpha \beta} = \big(R_{\alpha}\Gamma_{\alpha} \Big) \Big( R_{\beta}\Gamma_{\beta}\Big)##

For a matrix ##R## diagonal in ##1##, except for one entry ##-1##, such as ##R = [1,-1,1]##, is it proper to write the following in Einstein notation:

##R_{\alpha} R_{\beta} = \mathbb{1}_{\alpha \beta} ##, such that ##\Gamma_{\alpha} \Gamma_{\beta} = \Gamma_{\alpha} \Gamma_{\beta} \mathbb{1}_{\alpha \beta} = \big(R_{\alpha}\Gamma_{\alpha} \Big) \Big( R_{\beta}\Gamma_{\beta}\Big)##