Regarding Einstein Summation Convention

[clayton26]

So, I realize the basic theory behind Einstein Summation Convention is that any repeated set of indices implicitly indicates a sum over those indices. However, what if an index is repeated three times?

For example, my mathematics professor posted this problem:

ε_ijka_ja_j = ?

As you can see, j is repeated thrice. So how do I approach this?

 

[dextercioby]

It's nothing to approach, it's incorrect. In a monomial (product of indexed objects) an index can appear no more than 2 times.

 

[mathman]

So, I realize the basic theory behind Einstein Summation Convention is that any repeated set of indices implicitly indicates a sum over those indices. However, what if an index is repeated three times?

For example, my mathematics professor posted this problem:

ε_ijka_ja_j = ?

As you can see, j is repeated thrice. So how do I approach this?

It looks like a simple error. a_ja_j should be a_ia_j