Proving Relationship: Epsilon-Delta Decomposition for Tensors

[vortmax]

Homework Statement

Prove the following relationship:

\epsilon_pqi\epsilon_pqj = 2\delta_ij

Homework Equations

The Attempt at a Solution

All I have so far is the decomposition using the epsilon-delta

\epsilon_pqi\epsilon_pqj = \epsilon_qip\epsilon_pqj
\epsilon_qip\epsilon_pqj = \delta_qp\delta_iq - \delta_qj\delta_iq

have no idea where to turn next

 

[lanedance]

Hi vortmax, do you have a definition for the e_ijk (levi cevita) and understand the summation?

You could do it reasonably simply just by evaluating ij cases for both the levi cevitas & kronecka deltas (probably all you really need to do is i=j & i<>j cases)