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arXiv · 0903.4501

Schubert calculus and the Hopf algebra structures of exceptional Lie groups

Haibao Duan·Xuezhi Zhao
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Abstract

Let G be an exceptional Lie group with a maximal torus T. Based on common properties in the Schubert presentation of the cohomology ring H*(G/T;F_{p}) DZ1, and concrete expressions of generalized Weyl invariants for G over F_{p}, we obtain a unified approach to the structure of H*(G;F_{p}) as a Hopf algebra over the Steenrod algebra A_{p}. The results has been applied in Du2 to determine the near--Hopf ring structure on the integral cohomology of all exceptional Lie groups.

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Haibao Duan, Xuezhi Zhao. 2009-03-26. Schubert calculus and the Hopf algebra structures of exceptional Lie groups. https://arxiv.org/abs/0903.4501

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