The integral cohomology ring of E₈/T¹E₇
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cohomologyintegraldetermineringassociatedborelbundlecircle
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We determine the integral cohomology ring of the homogeneous space E_8/T^1E_7 by the Borel presentation and a method due to Toda. Then using the Gysin exact sequence associated with the circle bundle S^1 -> E_8/E_7 -> E_8/T^1E_7, we also determine the integral cohomology of E_8/E_7.
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