An analog of the Sklyanin algebra (Q1084489)

Let \(O_ q\) denote the algebra with the generators x, y and z and the relations \(xy-qyx=z\), \(yz-qzy=x\), \(zx-qxz=y\); \(q\in {\mathbb{C}}\setminus \{0\}\). The author studies the representations and the center of \(O_ q\).