what's the difference between $SL(2,C)$ and $PSL(2,C)$?

556 Views Asked by At

Am I missing something? what's the difference between $SL(2,C)$ (matrices 2x2 complex coefficients and determinant 1) and $PSL(2,C)$ which is isomorphic to $PGL(2,C)$ (matrices of complex coefficients with determinant 1)? Are $PSL(2,C)$ and $SL(2,C)$ the same?