Journal of Lie TheoryVol. 15, No. 1, pp. 219–226 (2005)
|
|
Journal of Lie Theory Vol. 15, No. 1, pp. 219–226 (2005) |
|
|
The Height Function on the 2-Dimensional Cohomology of a Flag ManifoldHaibao Duan and Xu-an ZhaoHaibao DuanInstitute of Mathematics Chinese Academy of Sciences Beijing 100080 dhb@math.ac.cn, and Xu-an 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)
Electronic fulltext finalized on: 26 Aug 2004. This page was last modified: 4 Jun 2010.
© 2004 Heldermann Verlag
|