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We study the existence of invariant Einstein metrics on real flag manifoldsassociated to simple and non-compact split real forms of complex classical Liealgebras whose isotropy representation decomposes into two or three irreduciblesub-representations. In this situation, one can have equivalent sub-modules,leading to the existence of non-diagonal homogeneous Riemannian metrics. Inparticular, we prove the existence of non-diagonal Einstein metrics on realflag manifolds.

Invariant Einstein metrics on real flag manifolds with two or three isotropy summands