Space and field symmetry

In the paper investigations on geometric objects in an arbitrary curved space are continued. Besides regular tensor objects some other geometric objects with fine algebraic structures are revealed which are interconnected and united into a single algebraic formation. The space of objects, called an internal space, has a group property. But this symmetry does not fit into an ordinary classical scheme of the Lie group. The traditional commutators of the Lie algebra are generalized and the relations obtained are nonlinear