Schubert calculus and cohomology of Lie groups. Part I. 1-connected Lie groups

2007/11/16 by Haibao Duan, Xuezhi Zhao, Duan, Haibao +1 · 1 citation
Mathematics · #Advanced Topics in Algebra #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0711.2541

Abstract

Let G be a compact and 1--connected Lie group with a maximal torus T. Based on Schubert calculus on the flag manifold G/T [15] we construct the integral cohomology ring H^∗(G) uniformly for all G.

Cited by

• The multi-degree of coverings on Lie groups

Related

• Schubert calculus and cohomology of Lie groups. Part II. Compact Lie groups
• Schubert calculus in Lie groups
• The near-Hopf ring structure on the integral cohomology of 1-connected Lie groups
• Three presentations of torus equivariant cohomology of flag manifolds
• On the cohomology rings of real flag manifolds: Schubert cycles