LeviCivitaTensor[] in Action

This is tremendous

but despite it works and is documented as well, the Notebook complains about the second argument to LeviCivitaTensor[]

NOW (after three readings) I understand. LeviCivitaTensor works, but the FrontEnd syntax checking has not been told that it can take a second argument. (Also the reason the second argument is in red.)

That I can report.

See the attached notebook for the code and outputs.

If you need a quick fix, then evaluate the following (or put it into your init.m):

LeviCivitaTensor;
Unprotect[LeviCivitaTensor];
SyntaxInformation[LeviCivitaTensor] = {"ArgumentsPattern" -> {_, _.}};
Protect[LeviCivitaTensor];

Now the highlighter is aware of the possible second argument and everything looks fine:

Mathematica graphics