Periodic and trisymmetric spaces of interior type with simple groups of motions

摘要

In this paper it is shown that, every periodic space of interior type with a real simple group of motions is completely determined by the set of simple roots of the reduced and irreducible root .system. A relationship is established between periodic spaces with flag manifolds and Sabinin trisymmetric spaces. A certain generalization of triaymmetric spaces is considered.