  Let G be a compact connected Lie group with a maximal torus T\subsetG. In the
context of Schubert calculus we obtain a canonical presentation for the
integral cohomology ring H^{\ast}(G/T) of the complete flag manifold G/T.
  The result have been applied in [15] to construct the integral cohomology
ring H^{\ast}(G) in terms of Schubert classes on G/T, and in [16] to determine
the structure of the modp cohomology H^{\ast}(G;F_{p}) as a Hopf algebra over
the Steenrod algebra.
