Let $G$ be a compact Lie group with a maximal torus $T$. Based on a presentation of the integral cohomology ring $H^{\ast }(G/T)$ of the flag manifold $G/T$ in \cite{DZ1} we have presented in \cite{DZ2} an explicit and unified construction of the integral cohomology rings $H^{\ast }(G)$ for the $1$--connected Lie groups $G$. In this paper we extend this construction to all compact Lie groups.
The cohomology ring of the GKM graph of a flag manifold of classical type
The graph cohomology ring of the GKM graph of a flag manifold of type $G_2$
Schubert presentation of the integral cohomology ring of the flag manifolds G/T
![QR code for arXiv:1502.00410 [math.AT]](http://oss.arxitics.com/images/favicon.svg)