  We compare different notions of limit sets for the action of Kleinian groups
on the $n-$dimensional projective space via the irreducible representation
$\varrho:PSL(2,\mathbb{C})\to PSL(n+1,\mathbb{C}).$ In particular, we prove
that if the Kleinian group is convex-cocompact, the Myrberg and the Kulkarni
limit coincide.
