We determine all irreducible homogeneous bundles with anti-self-dual canoni
cal connections on compact quaternion symmetric spaces. To deform the canon
ical connections, we give a relation between the representation theory and
the theory of monads on the twistor space. The moduli spaces are described
via the Bott-Borel-Weil Thereom. The Horrocks bundle is also generalized to
higher-dimensional projective spaces.