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Schubert calculus and cohomology of Lie groups. Part II. Compact Lie groups (1502.00410v5)
Published 2 Feb 2015 in math.AT
Abstract: 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.