Journal of Lie Theory Vol. 15, No. 1, pp. 219–226 (2005) 

The Height Function on the 2Dimensional Cohomology of a Flag ManifoldHaibao Duan and Xuan ZhaoHaibao DuanInstitute of Mathematics Chinese Academy of Sciences Beijing 100080 dhb@math.ac.cn, and Xuan Zhao Department of Mathematics Beijing Normal University Beijing 100875 zhaoxa@bnu.edu.cn Abstract: Let $G/T$ be the flag manifold of a compact semisimple Lie group $G$ modulo a maximal torus $T\subset G$. We express the height function on the $2$% dimensional integral cohomology $H^{2}(G/T)$ of $G/T$ in terms of the geometry of the root systems of the Lie groups. Keywords: Lie algebra, Weyl group, Flag manifolds, Cohomology Full text of the article: (for faster download, first choose a mirror)
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