# Structure constants of a group antisymmetric?

1. Jun 25, 2009

### jason12345

First, how do you put in spaces without them being deleted when i post?

How does one show that the structure constants, $$c^{k}_{ij}$$ of a group are antisymmetric? The context is from page 12 of Anderson's "Principles of Relativity Physics", with the statement right at the bottom:

Thanks for any help in advance.

2. Jun 26, 2009

### zhentil

It just follows from the definition. If you interchange i and j in the computation, you get a minus sign.

3. Jul 1, 2009

### jason12345

Can you show me then?

Thanks