Solving Permutation Operator Homework

[cks]

Homework Statement

I can't really imagine how this was approached.

Let P_{\alpha0} fixed

P_{a0}A=\frac{1}{N!}\sum_{\alpha}\epsilon_{\alpha}P_{\alpha0}P_{\alpha}=\frac{1}{N!}\epsilon_{\alpha0}\sum_{\alpha}\epsilon_{\beta}P_{\beta}=\epsilon_{\alpha0}A<br /> <br />

Homework Equations

The Attempt at a Solution

I can understand that P_{\alpha0}P_{\alpha} = P_{\beta} is a new permutation operator.

P_{a0}A=\frac{1}{N!}\sum_{\alpha}\epsilon_{\alpha}P_{\alpha0}P_{\alpha}=\frac{1}{N!}\sum_{\alpha}\epsilon_{\alpha}P_{\beta}

 

[Hurkyl]

What do all of your symbols mean?