A note on the Bruhat decomposition of semisimple Lie groups
Abstract
Description
Let a split element of a connected semisimple Lie group act on one of its flag manifolds. We prove that each connected set of fixed points of this action is itself a flag manifold. With this we can obtain the generalized Bruhat decomposition of a semisimple Lie group by entirely dynamical arguments.
7 pages
7 pages