2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56460We study the matrix factorization problem associated with an SO(2) spinning top by using the algebro-geometric approach. We derive the explicit expressions in terms of Riemann theta functions and discus some related problems including a non-compact extension and the case when the Lax matrix contains higher-order powers of the spectral parameter.11 pages, LatexMathematical PhysicsExactly Solvable and Integrable Systemstext