A unified formula for Steenrod operations in flag manifolds

Details A unified formula for Steenrod operations in flag manifolds A unified formula for Steenrod operations in flag manifolds

2003-06-17

arxiv.org/abs/math/0306250v4

Mathematics

Algebraic Topology

19 pages

Scientific paper

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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