Re: e-permutation tensor

I'm familiar with the identity

e^ijk*e^klm = delta^il*delta^jm - delta^im*delta^jk

where the indices go form 1 to 3. It's proven using the fact that only
one value of k contributes in a nonzero way to the summation over k on
the left side. (Formally we may say "Let k be an element of
{1,2,3}\{i,j}, where that difference has only one element whenever the i
and j are distinct.")

But I'm lost when we allow indieces to go to 4. How is an argument of 4
handled in a THIRD-order permuation tensor?

--OL

.

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