Multidimensional quantization. II: The covariant derivation (Q1061403)

[For part I, see ibid. 5, No.2, 42-55 (1980; Zbl 0502.58019; see also C. R. Acad. Sci., Paris Sér. A 291, 295-298 (1980; Zbl 0459.58006).] The author (loc. cit.) has proposed a construction of unitary representations by K-orbits. In the present paper we give a physical illustration of this construction. The main result is the following fact: The partially invariant holomorphically induced representation of a connected and simply connected Lie group coincides with the representation arising in the procedure of multidimensional quantization of this group.