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Journal of Lie Theory 15 (2005), No. 1, 219--226
Copyright Heldermann Verlag 2005

The Height Function on the 2-Dimensional Cohomology of a Flag Manifold

Haibao Duan
Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, P. R. China

Xuan Zhao
Dept. of Mathematics, Beijing Normal University, Beijing 100875, P. R. China

Let G/T be the flag manifold of a compact semisimple Lie group G modulo a maximal torus T, where T is a subset of G. We express the height function on the 2-dimensional integral cohomology H2(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.

MSC: 53C30; 57T15, 22E60

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