  This short paper being devoted to some aspects of the inverse problem of the
representation theory treats several themes, which have their origins in the
researches of F.A.Berezin, D.P.Zhelobenko, V.P.Maslov and his group, in context
of the author's approach to the setting free of hidden symmetries, which is
based on the noncommutative geometry. Relations of the discussed topics to the
general ideologies of the translator algebras in representation theory and of
the dynamical symmetries or the spectrum--generating algebras in mathematical
physics are pointed out. A possibility of quantum field generalizations of the
constructions in terms of vertex (QFT--operator) and Zamolodchikov algebras is
mentioned.
