  The relations between the hidden symmetries of the six-dimensional
pseudo-Euclidean space with signature (+++ -- ) and the conserved quantum
characteristics of elementary particles is established. The hidden symmetries
are brought out by the various forms of representation of the pseudo-Euclidean
space metric with the aid of spinors and hyperbolic complex numbers. Using the
emerging hidden symmetry groups one can disclose such conserved quantum
characteristics as spin, isospin, electric and baryon charges, hypercharge,
color and flavor. One can also predict the exact number of such conserved
quantum characteristics of quarks as color and flavor.
