Gauge Cayley-Klein symmetries

The limit transitions and analytic continuations of the SO(3) gauge group in the Georgi-Glashow model are considered. A set of Lagrangian with Cayley-Klein symmetries was obtained. In this case, two-dimensional Cayley-Klein spaces of constant curvature are the orbits of gauge equivalent fields of matter. We used a unitary gauge, where the massiveness of some of the gauge fields is obvious without using the Higgs potential and the concept of spontaneous symmetry breaking. It is shown that if all the same to use spontaneous symmetry breaking and the potential then the set of massive fields is similar. The Yang-Mills Lagrangians for gauge Cayley-Klein fields are proposed.