Quantum chromodynamics and the hyperbolic unitary group SUh(3)

The paper shows that it is natural to construct quantum chromodynamics as a rigorous theory on the basis of employment of hyperbolic unitary group 𝑆𝑈ℎ(3), which is a symmetry group for the three-dimensional complex space of the hyperbolic type. Such an approach makes it possible to discover a profound connection between conserved color charges of the quarks and the symmetries of the hyperbolic three-dimensional complex space. Further, it allows to introduce correctly from mathematical point of view the Hermitian operators to describe the eight gluons, which are carriers of strong interactions.