The integral cohomology ring of E_8/T

Details The integral cohomology ring of E_8/T The integral cohomology ring of E_8/T

2009-12-02

arxiv.org/abs/0912.0371v2

Proc. Japan Acad. Ser. A Math. Sci. 86 (2010), no.3, 64--68

Mathematics

Algebraic Topology

5 pages, AMS-LaTeX, Minor errors corrected.

Scientific paper

10.3792/pjaa.86.64

We give a complete description of the integral cohomology ring of the flag
manifold E_8/T, where E_8 denotes the compact exceptional Lie group of rank 8
and T its maximal torus, by the method due to Borel and Toda. This completes
the computation of the integral cohomology rings of the flag manifolds for all
compact connected simple Lie groups.

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