2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72478Let G be compact Lie group. It is shown that the cotangent bundle of the complexification of G admits a hyperkahler structure which is invariant under left and right translations by elements of G. The proof is to realize the cotangent bundle of the complex group as a moduli space of solutions to Nahm's equations on the closed interval.This paper was originally written in 1988 but not published. It is being made available now in electronic formDifferential GeometrySymplectic Geometry53C26 (Primary) 53C28, 53D30 (Secondary)text