Abstract

Primitive harmonic maps of finite type from a Riemann surface M into a k-symmetric space G/H are obtained by integrating a pair of commuting Hamiltonian vector fields on certain finite-dimensional subspaces of loop algebras. We will clarify and generalize Ohnita and Udagawa's results concerning homogeneous projections p:G/HG/K, with HK, preserving finite-type property for primitive harmonic maps.