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arXiv · 0801.2444

Schubert presentation of the integral cohomology ring of the flag manifolds G/T

Haibao Duan·Xuezhi Zhao
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Abstract

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.

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Haibao Duan, Xuezhi Zhao. 2008-01-16. Schubert presentation of the integral cohomology ring of the flag manifolds G/T. https://arxiv.org/abs/0801.2444

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