Open Access
March 2010 The integral cohomology ring of E8/T
Masaki Nakagawa
Proc. Japan Acad. Ser. A Math. Sci. 86(3): 64-68 (March 2010). DOI: 10.3792/pjaa.86.64


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.


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Masaki Nakagawa. "The integral cohomology ring of E8/T." Proc. Japan Acad. Ser. A Math. Sci. 86 (3) 64 - 68, March 2010.


Published: March 2010
First available in Project Euclid: 3 March 2010

zbMATH: 1206.57043
MathSciNet: MR2641799
Digital Object Identifier: 10.3792/pjaa.86.64

Primary: 57T15
Secondary: 14M15

Keywords: Cohomology , Flag manifolds , Lie groups

Rights: Copyright © 2010 The Japan Academy

Vol.86 • No. 3 • March 2010
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