Abstract
Let L/L' be a homogeneous space associated with a semi-simple graded Lie algebra [ = l-1 ⊕ l 0 ⊕ l 1 . On a homogeneous space G/H, with H connected, the existence of a G-invariant flat Cartan structure of graded type L/L' is equivalent to the existence of a homomorphism f: g → l of the Lie algebra g of G into l satisfying natural conditions.
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