THE DETERMINANT FORMULAE FOR THE RODRIGUES GENERAL PROBLEM WHEN THE EIGENVALUES HAVE DOUBLE MULTIPLICITY.

We discuss the general Rodrigues problem and we give explicit determinant formulae for the coefficients when the eigenvalues of the matrix have double multiplicity (Theorem 5). When n = 4 explicit formulae and effective computations for the exponential map on the Lie group SO(4) are presented. [ABSTRACT FROM AUTHOR]