Dniprodzerzinsk State Technical University
Dniprodzerzinsk, UKRAINE

E-mail:  Samokhval@rambler.ru

The Infinite Deformed Groups of Symmetries of the Gauge Theories

Abstract:
To obtain the group-theoretic description of gauge fields, gauge groups are transformed in such a wey thet the infinite deformed groups obtained contain the information about the gauge fields and, as a result, they can be considered as dynamical groups of gauge interactions. The infinite group of deformed diffeomorphisms of the spacetime continuum is put into the basis of the gauge theory of gravity. This gives rise to some new ways for unification of gravity with other gauge interactions.