News Academy of Engineering Sciences A.M. Prokhorov Annotation << Back SYMPLECTIC SYMMETRY OF PARTICLES AND CURVILINEAR COORDINATES G.B. POPKOV It is shown that the transition to a curved space-time coordinates does not change the anti-symmetric tensor invariant symplectic group, hence the presence of the gravitational fi eld does not aff ect the properties described by the theory of elementary particles. In the proof of the universal covering applied narrowing of Sp (16, Z) over the fi eld of complex numbers up of Sp (4, R) over the fi eld of real numbers. Keywords: symplectic symmetry, elementary particles, gravity. Contacts: E-mail: igorpopkoff@yandex.ru Pp. 17-18.