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We study the isotropy representation of real flag manifolds associated tosimple Lie algebras that are split real forms of complex simple Lie algebras.For each Dynkin diagram the invariant irreducible subspaces for the compactpart of the isotropy subgroup are described. Contrary to the complex flagmanifolds the decomposition into irreducible components is not in generalunique, since there are cases with infinitely many invariant subspaces.

The Isotropy Representation of a Real Flag Manifold: Split Real Forms