## Abstract

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.

Original language | English |
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Pages (from-to) | 64-68 |

Number of pages | 5 |

Journal | Proceedings of the Japan Academy Series A: Mathematical Sciences |

Volume | 86 |

Issue number | 3 |

DOIs | |

Publication status | Published - Mar 2010 |

Externally published | Yes |

## Keywords

- Cohomology
- Lie groups
- flag manifolds

## ASJC Scopus subject areas

- Mathematics(all)

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