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

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

Haibao Duan and Xu-an Zhao

Haibao Duan
Institute of Mathematics
Chinese Academy of Sciences
Beijing 100080
Xu-an Zhao
Department of Mathematics
Beijing Normal University
Beijing 100875

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

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Electronic fulltext finalized on: 26 Aug 2004. This page was last modified: 4 Jun 2010.

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