Haibao Duan, Xuezhi Zhao
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 $G$.
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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 $G$.
Key concepts: Schubert calculus, Maximal torus, Mathematics, Generalized flag variety, Flag (linear algebra), Cohomology, Lie group, Cohomology ring