On Generalized Clifford Algebra $C_4^{(n)}$ and $G{L}_q(2;C)$ Quantum Group

The non commuting matrix elements of matrices from quantum group $G{L}_q(2;C)$ with $q\equiv \omega$ being the $n$-th root of unity are given a representation as operators in Hilbert space with help of $C_4^{(n)}$ generalized Clifford algebra generators appropriately tensored with unit $% 2\times 2$ matrix infinitely many times. Specific properties of such a representation are presented.