The Height Function on the 2-Dimensional Cohomology of a Flag Manifold
Journal of Lie theory, Tome 15 (2005) no. 1, pp. 219-226
Cet article a éte moissonné depuis la source Heldermann Verlag
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.
Classification :
53C30, 57T15, 22E60
Mots-clés : Lie algebra, Weyl group, flag manifolds, cohomology
Mots-clés : Lie algebra, Weyl group, flag manifolds, cohomology
@article{JLT_2005_15_1_JLT_2005_15_1_a13,
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},
url = {http://geodesic.mathdoc.fr/item/JLT_2005_15_1_JLT_2005_15_1_a13/}
}
H. Duan; X. Zhao . The Height Function on the 2-Dimensional Cohomology of a Flag Manifold. Journal of Lie theory, Tome 15 (2005) no. 1, pp. 219-226. http://geodesic.mathdoc.fr/item/JLT_2005_15_1_JLT_2005_15_1_a13/