  Globular clusters as $\omega$ Cen and NGC 2808 appear to have a population of
very He-rich stars. From a theoretical point of view, one expects the presence
of He-rich stars in all globular clusters showing an oxygen-sodium (O-Na)
anticorrelation. In this paper, we briefly recall how fast rotating massive
stars could be the main source of the material from which He-rich stars have
formed. We speculate that the UV-upturn phenomenon observed in all elliptical
galaxies might be due to He-rich stars. If this hypothesis is correct then fast
rotating massive stars may have played in the early evolutionary phases of
these systems a similar role as the one they played in the nascent globular
clusters.
