# Weakly irreducible subgroups of \$Sp1,n 1\$ - Mathematics > Differential Geometry

Abstract: Connected weakly irreducible not irreducible subgroups of \$Sp1,n+1\subsetSO4,4n+4\$ that satisfy a certain additional condition are classified. Thiswill be used to classify connected holonomy groups of pseudo-hyper-K\-ahlerianmanifolds of index 4.

Author: Natalia I. Bezvitnaya

Source: https://arxiv.org/