Journal of Lie Theory

no. 1
The Height Function on the 2-Dimensional Cohomology of a Flag Manifold
Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 219-226
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.
DOI: 10.5802/jolt.369
Classification: 53C30, 57T15, 22E60
Keywords: Lie algebra, Weyl group, flag manifolds, cohomology 
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     author = {H. Duan and X. Zhao},
     title = {The {Height} {Function} on the {2-Dimensional} {Cohomology} of a {Flag} {Manifold}},
     journal = {Journal of Lie Theory},
     pages = {219--226},
     year = {2005},
     volume = {15},
     number = {1},
     doi = {10.5802/jolt.369},
     zbl = {1074.53043},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.369/}
}
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H. Duan; X. Zhao. The Height Function on the 2-Dimensional Cohomology of a Flag Manifold. Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 219-226. doi: 10.5802/jolt.369

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