An involution and dynamics for the $q$-deformed quantum top
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 24, Tome 200 (1992), pp. 3-16

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An involution in the phase space of the $q$-deformed quantum top is constructed which singles out a $q$-analogue of its compact form and a dynamics compatible with this involution is proposed which initates the motion of the classical spherical top.
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     author = {A. Yu. Alekseev and L. D. Faddeev},
     title = {An involution and dynamics for the $q$-deformed quantum top},
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A. Yu. Alekseev; L. D. Faddeev. An involution and dynamics for the $q$-deformed quantum top. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 24, Tome 200 (1992), pp. 3-16. http://geodesic.mathdoc.fr/item/ZNSL_1992_200_a0/