A ug 2 00 8 THE CHOW RINGS OF THE ALGEBRAIC GROUPS E 6 AND E 7

We determine the Chow rings of the complex algebraic groups E 6 and E 7 , giving the explicit generators represented by the pullback images of Schubert varieties of the corresponding flag varieties. This is a continuation of the work of R. Marlin on the computation of the Chow rings of SO n (C), Spin n (C), G 2 , and F 4 .