Schubert calculus in Lie groups

Haibao Duan

Published 2023-07-26Version 1

Let $G$ be a simple Lie group with a maximal torus $T$. Combining Schubert calculus in the flag manifold $G/T$ with the Serre spectral sequence of the fibration $G\rightarrow G/T$, we construct the integral cohomology ring $H^{\ast}(G)$ uniformly for all $G$.