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A unified formula for Steenrod operations in flag manifolds

Haibao Duan·Xuezhi Zhao
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Abstract

The classical Schubert cells on a flag manifold G/H give a cell decomposition for G/H whose Kronecker duals (known as Schubert classes) form an additive base for the integral cohomology H^{\ast}(G/H). We present a formula that expresses Steenrod mod-p operations on Schubert classes in G/H in terms of Cartan numbers of G.

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Haibao Duan, Xuezhi Zhao. 2005-02-14. A unified formula for Steenrod operations in flag manifolds. https://arxiv.org/abs/math/0306250

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