A unified formula for Steenrod operations in flag manifolds
Algebraic Topology
2014-04-02 v4 Algebraic Geometry
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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Cite
@article{arxiv.math/0306250,
title = {A unified formula for Steenrod operations in flag manifolds},
author = {Haibao Duan and Xuezhi Zhao},
journal= {arXiv preprint arXiv:math/0306250},
year = {2014}
}
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19 pages