Reversible complex hyperbolic isometries

Let PU(n,1) denote the isometry group of the n-dimensional complex hyperbolic space hn. An isometry g is called reversible if g is conjugate to g-1 in PU(n,1). If g can be expressed as a product of two involutions, it is called strongly reversible. We classify reversible and strongly reversible elements in PU(n,1). We also investigate reversibility and strong reversibility in SU(n,1).