Self-dual connections of homogeneous principal bundles over quaternionic Kaehler symmetric spaces (Q1375800)

Recently, \textit{M. M. Capria} and \textit{S. M. Salamon} [Nonlinearity 1, 517-530 (1988; Zbl 0681.53037)], \textit{T. Nitta} [Tôhoku Math. J., II. Ser. 40, 425-440 (1988; Zbl 0663.53055)] and others extended the notion of (anti-)selfdual connections on 4-manifolds to higher-dimensional quaternionic Kähler manifolds. In the paper under review, a full characterization of these connections for homogeneous principal bundles over Kähler quaternionic symmetric spaces is given, in terms of the holonomy homomorphisms. The idea uses the group theoretic approach to describe invariant connections satisfying the (anti-)selfdual equations.