SU(2) Special Unitary 2x2 : Unitary with det=1
( α − β ¯ β α ¯ ) {\displaystyle {\begin{pmatrix}\alpha &-{\bar {\beta }}\\\beta &{\bar {\alpha }}\end{pmatrix}}} ( 1 0 0 1 ) {\displaystyle {\begin{pmatrix}1&0\\0&1\end{pmatrix}}}
