Holonomy algebras of pseudo-quaternionic-K\"ahlerian manifolds of signature $(4,4)$

Abstract

Possible holonomy algebras of pseudo-quaternionic-K\"ahlerian manifolds of signature $(4,4)$ are classified. Using this, a new proof of the classification of simply connected pseudo-quaternionic-K\"ahlerian symmetric spaces of signature $(4,4)$ is obtained.