Flat manifolds with homogeneous holonomy representation
Group Theory
2022-04-05 v3 Representation Theory
Abstract
We show that a rational holonomy representation of any flat manifold except torus must have at least two non-equivalent irreducible subrepresentations. As an application we show that if a K\"ahler flat manifold is not a torus then its holonomy representation is reducible.
Keywords
Cite
@article{arxiv.1803.07177,
title = {Flat manifolds with homogeneous holonomy representation},
author = {Rafał Lutowski},
journal= {arXiv preprint arXiv:1803.07177},
year = {2022}
}