2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116593The actions of a half Virasoro algebra have appeared in many integrable systems. In this paper we show that there is an action of a (Half) Virasoro algebra on the space of (2+0) harmonic maps into a Lie group. This action is generated by a natural action on the frames. A similar calculation on the space-time (1+1) harmonic maps yields formulas generated by John Schwarz.13 pagesDifferential GeometryClassical Analysis and ODEsExactly Solvable and Integrable Systems53C43,58E20,53Z05text