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Flat manifolds with homogeneous holonomy representation

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 Kähler flat manifold is not a torus then its holonomy representation is reducible.

preprint2019arXivOpen access
Rafał Lutowski
math.RTmath.GR
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Rafał Lutowski

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