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The near-Hopf ring structure on the integral cohomology of 1-connected Lie groups

Let G be an exceptional Lie group with a maximal torus T. Based on Schubert calculus on the flag manifold G/T we have described the integral cohomology ring H*(G) by explicitely constructed generators in [DZ2], and determined the structure of H*(G;F_{p}) as a Hopf algebra over the Steenrod algebra in[DZ3]. In this sequel to [DZ2], [DZ3] we obtain the near--Hopf ring structure on H*(G).

preprint2010arXivOpen access
Haibao Duan
math.AT
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Haibao Duan

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