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The “Cartesian” form of SU q (2) is found consisting of three generators K 1 , K 2 , K 3 such that K 1 and K 2 are Hermitian linear combinations of raising and lowering generators of SU q (2). This version is shown to coincide with Odesskii-Fairlie algebra. Overlap functions between eigenstates of K 1 and K 2 are expressed via Racah q-polynomials being the q-analogy of Wigner D-function.
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Alexei Zhedanov (1992) studied this question.
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