Exotic Holonomies ${\rm E}^{(a)}_7$

It is proved that the Lie groups and represented in ℝ56 and the Lie group represented in ℝ112 occur as holonomies of torsion-free affine connections. It is also shown that the moduli spaces of torsion-free affine connections with these holonomies are finite dimensional, and that every such connection has a local symmetry group of positive dimension.