The integral cohomology of a complete flag manifold G/T
نویسندگان
چکیده
Let G be an exceptional Lie group with a maximal torus T ⊂ G. We present the integral cohomology ring H∗(G/T ) by a minimal set of Schubert classes on G/T . This completes the program of determining the integral cohomology of all complete flag manifolds G/T in the context of Schubert calculus. The results have been applied in [DZ3] to construct the integral cohomology of a simple Lie group G in terms of Schubert classes on G/T ; and in [DZ4] to determine the Steenrod operations in exceptional Lie groups. 2000 Mathematical Subject Classification: 57T15 14M15. Email addresses: [email protected]; [email protected]
منابع مشابه
The Height Function on the 2-Dimensional Cohomology of a Flag Manifold
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