Weyl group invariants

Mathematics – Algebraic Topology

Scientific paper

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14 paages

Scientific paper

For any odd prime $p$, we prove that the induced homomorphism from the mod
$p$ cohomology of the classifying space of a compact simply-connected simple
connected Lie group to the Weyl group invariants of the mod $p$ cohomology of
the classifying space of its maximal torus is an epimorphism except for the
case $p=3$, $G=E_8$.

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