English

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

Differential Geometry 2013-04-10 v2

Abstract

Connected weakly irreducible not irreducible subgroups of Sp(1,n+1)SO(4,4n+4)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-K\"ahlerian manifolds of index 4.

Keywords

Cite

@article{arxiv.0804.0444,
  title  = {Weakly irreducible subgroups of $Sp(1,n+1)$},
  author = {Natalia I. Bezvitnaya},
  journal= {arXiv preprint arXiv:0804.0444},
  year   = {2013}
}

Comments

11 pages

R2 v1 2026-06-21T10:27:11.416Z