We present here the basic results written in spinor notation. You can prove all of them as an exercise.
Every skew 
can be written as
where 
and 
are symmetric.
If 
is real then 
.
Dualisation is particularly easy:
Maxwell's equations have the form:
for some 4-potential 
and 4-current 
.
The expression for the stress-energy tensor is also particularly simple:
