Eigenvalues of the invariant operators of the orthogonal and symplectic groups
M. K. F. Wong, Hsin−Yang Yeh · Journal of Mathematical Physics · 1975
Eigenvalues of the invariant operators of the orthogonal and symplectic groups have been obtained in closed form. All semisimple Lie groups, the unitary, orthogonal, and symplectic groups, are treated in a systematic way by modifying Perelomov and Popov’s method. The eigenvalues of the invariant operators for the orthogonal and symplectic groups are then calculated with reference to the unitary group.