may i know what is the difference between a special linear group and a special unitary group. both have determinant 1 and are matrices...seems the same to me
thanks!
For example,
$\displaystyle A=\begin{bmatrix}{1}&{0}\\{1}&{1}\end{bmatrix}$
belongs to the special linear group ( $\displaystyle \det A=1$ ) but not to the special unitary group ( $\displaystyle A$ is not unitary ) .
Fernando Revilla