  This note being devoted to some aspects of the inverse problem of
representation theory explicates the links between researches on the Sklyanin
algebras and the author's (based on the noncommutative geometry) approach to
the setting free of hidden symmetries in terms of "the quantization of
constants". Namely, the Racah-Wigner algebra for the Sklyanin algebra is
constructed. It may be considered as a result of the quantization of constants
in the Racah-Wigner algebra for the Lie algebra $sl(2,C)$. The Racah-Wigner
algebra for the Sklyanin algebra is an example of the noncommutative weighted
shift operator algebras (NWSO-algebras), which generalize the mho-algebras
introduced by the author earlier. If the Sklyanin algebra is interpreted as an
algebra of anomalous spins then the Racah-Wigner algebra for it may be regarded
as an enlargement of the Sklyanin algebra by operators of the anomalous
spin-spin interaction (of tensor type).
