We give a decomposition of the Chow motive of an isotropic projective homogeneous variety of a semisimple algebraic group in terms of twisted motives of simpler projective homogeneous varieties. As an application, we prove a generalization of Rost's nilpotence theorem.where M(Y )(1) = M(Y ) ⊗ Z(1) and d = dim X . This result has been generalized by
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