Irreducible holonomy algebras of Riemannian supermanifolds

Possible irreducible holonomy algebras mathfrakg ì mathfrakosp(p, q|2m){mathfrak{g}subsetmathfrak{osp}(p, q|2m)} of Riemannian supermanifolds under the assumption that mathfrakg{mathfrak{g}} is a direct sum of simple Lie superalgebras of classical type and possibly of a 1-dimensional center are classified. This generalizes the classical result of Marcel Berger about the classification of irreducible holonomy algebras of pseudo-Riemannian manifolds.