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Weakly irreducible subgroups of $Sp(1,n+1)$

arXiv:0804.0444

Abstract

Connected weakly irreducible not irreducible subgroups of $Sp(1,n+1)\subset SO(4,4n+4)$ that satisfy a certain additional condition are classified. This will be used to classify connected holonomy groups of pseudo-hyper-Kählerian manifolds of index 4.

11 pages