Abstract
In this paper, we study the finite dimensional unitary representations of the quantum group SU q (2). Then we obtain the Peter-Weyl theorem for SU q (2) and the matrix elements of these unitary representations are explicitly expressed in terms of the little q-Jacobi polynomials which are known as q-analogues of orthogonal polynomials. Using these expressions, the orthogonality relations of these polynomials are obtained in terms of the Haar measure on the quantum group SU q (2).
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