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arXiv:0903.4501 [math.AT]AbstractReferencesReviewsResources

Schubert calculus and the Hopf algebra structures of exceptional Lie groups

Haibao Duan, Xuezhi Zhao

Published 2009-03-26, updated 2010-08-29Version 4

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.

Comments: 22 pages
Journal: Forum Mathematicum, Volume 26, Issue 1, Jan 2014, p.113-140
Categories: math.AT, math.AG
Subjects: 57T15, 14M15
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