# Levi-Civita Tensor

1. Nov 13, 2013

### nateHI

I have been trying to think about the Levi-Civita tensor in the context of Group Theory. Is there a group that it is symmetric to?

I'm sorry if this is a double post but I don't think my original identical post submitted correctly.

Thanks, Nate

2. Dec 17, 2013

### LagrangeEuler

You mean under the composition of Levi Civita?
For example $\epsilon_{ijk}\cdot \epsilon_{lmn}$. Well I'm not sure.

3. Dec 17, 2013

### ChrisVer

Since the Levi Civita symbol is subject to permutations, i think that it has to do with a Symmetric group...
(it's a guess if someone knows for sure I'd be happy to see it).