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

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 $H^{\ast }(G)$ uniformly for all $G$.

32 pages; 4 tables

References in corpus (1)

• The Chow rings of generalized Grassmannians

Cited by in corpus (4)

• On the Borel transgression in the fibration $G\to G/T$
• Topology of unitary groups and the prime orders of binomial coefficients
• Schubert presentation of the integral cohomology ring of the flag manifolds G/T
• The multi-degree of coverings on Lie groups