# How to find the Majorana matrices?

1. Dec 31, 2011

### ag_swe

I'm just wondering how the Majorana matrices first were found. I have only seen them immediately written down at different webpages, and never seen a derivation. Is it obvious how to transform the Dirac gamma matrices into the Majorana representation?

2. Jan 2, 2012

3. Jan 2, 2012

### ag_swe

Thanks, interesting paper.
In fact, since {β,α_i}=0, I think one can simply swap β and α₂, which makes all gamma matrices purely imaginary.