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

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

References in corpus (1)

• Metrics that realize all Lorentzian holonomy algebras

Cited by in corpus (2)

• Holonomy algebras of pseudo-quaternionic-Kählerian manifolds of signature $(4,4)$
• Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4