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Keywords:
pseudo-hyper-Kählerian manifold of index 4; weakly irreducible holonomy group
pseudo-hyper-Kählerian manifold of index 4; weakly irreducible holonomy group
Summary:
Connected weakly irreducible not irreducible subgroups of $\mbox {Sp}(1,n+1)\subset \mbox {SO}(4,4n+4)$ 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.
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