Representation theory and ADHM-construction on quaternion symmetric spaces

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.