A component includes a carrier; and a semiconductor body arranged on the carrier, wherein the semiconductor body includes a semiconductor layer facing away from the carrier, a further semiconductor layer facing the carrier and an optically active layer located therebetween, the carrier has a metallic carrier layer that is contiguous and mechanically stabilizes the component, the carrier includes a mirror layer disposed between the semiconductor body and the carrier layer, and the carrier has a compensating layer directly adjacent to the carrier layer and configured to compensate for internal mechanical strains in the component.