Exact monopole solutions in gauge theories for an arbitrary semisimple compact group

Exact n-parametric monopole and dyon solutions are constructed for the arbitrary compact gauge group G of rank n using the symmetry between cylindrically symmetric instanton equations in Euclidean space R4 and monopole equations in Minkowski space Rsub(3,1) (with Higgs scalar field in adjoint representation). The solutions are spherically symmetric with respect to the total momentum operator. Explicit expressions for the monopole magnetic charge and mass matrices are obtained. The remarkable point of the results is the existence of discrete series of the monopole solutions, which are labelled by n ''quantum'' numbers and degene-rated in the latter ones at a fixed monopole mass matrix