# Maxwell field wedge product basis

1. Oct 26, 2011

1. The problem statement, all variables and given/known data

The problem is to write it in terms on coordinate basis using the wedge product,
$$F=F_{\mu\nu}dx^{\mu}\wedge dx^{\nu}$$
from the basis with the tensor prdouct.

2. Relevant equations

The EM field strength tensor can be written, with a coordinate basis,
$$F=F_{\mu\nu}dx^{\mu}\otimes dx^{\nu}$$

3. The attempt at a solution

My initial thought was write the field strength tensor in terms of is antisymmetric parts,
$$F=\frac{1}{2}\left(F_{\mu\nu}dx^{\mu}\otimes dx^{\nu}-F_{\nu\mu}dx^{\nu}\otimes dx^{\mu}\right)$$
I can't get any further though. Any insights would be appreciated.

Last edited: Oct 26, 2011