The integral cohomology ring of E8/T

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10 Citations (Scopus)

Abstract

We give a complete description of the integral cohomology ring of the flag manifold E8/T, where E8 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 languageEnglish
Pages (from-to)64-68
Number of pages5
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Volume86
Issue number3
DOIs
Publication statusPublished - Mar 2010
Externally publishedYes

Keywords

  • Cohomology
  • Lie groups
  • flag manifolds

ASJC Scopus subject areas

  • Mathematics(all)

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