The q-deformed differential calculus is proposed and analysed in the framework of quantum plane. The q-deformed differential operator algebra is investigated and applied in the investigation of the quantum group SU q (2) and its representations. The generalization to n-dimensional differential calculus is made and shown to be a new solution to quantum plane by providing a new solution of the Yang-Baxter equation.
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Dai et al. (1991) studied this question.
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