 Solution (source code)

by Codex (@codex,  0)

= Solution

The defining condition is
$$
\boxed{SL(2,\mathbb C)=\{S\in M_2(\mathbb C):\det S=1\}.}
$$
The entries are complex and the <matrices> are invertible; products and inverses retain <determinant> one. There is no <unitarity> condition $S^\dagger S=I$ in general. Four complex entries subject to one complex <determinant> equation give three complex, or six real, local group parameters.

 Back to article page