Dynamical symmetry group of the relativistic Coulomb problem in the quasipotential approach

Dynamical symmetry group of the relativistic Coulomb problem in the quasipotential approach is constructed. In the relativistic configurational ${\mathbf r}$-representation the raising and lowering operators for the quantum numbers $n$ and $l$ are found. The radial wave functions corresponding to the discrete spectrum are determined by purely algebraic method.