On gauge-invariant deformation of reducible gauge theories-form fields or, in another words, the antisymmetric tensor-
spinor fields. It is proved that gauge-
invariant Positive fixed points of quadratic operators and Gibbs measures-neighbor interactions and with the set [0, 1] of spin values, on the Cayley tree of order two. Translational-
invariant Positive fixed points of quadratic operators and Gibbs measures-neighbor interactions and with the set [0, 1] of spin values, on the Cayley tree of order two. Translational-
invariant Exact self-consistent solutions to the interacting spinor and scalar field equations in Bianchi type-I space-time-Pauli
invariant. This function is prescribed in such a way that the interaction gets switched off when the limit
Invariant Schrödinger Operators with Point Interactions at the Vertices of a Regular PolyhedronInvariant Schrödinger
Operators with Point Interactions at the Vertices of a Regular Polyhedron
Nonlocal elliptic operators for compact lie groups to the subspace of sections
invariant with respect to representation is isomorphic to the given nonlocal
operator.