Distinguished orbits and the L-S category of simply connected compact Lie groups
General Topology
2009-08-11 v2 Representation Theory
Abstract
We show that the Lusternik-Schnirelmann category of a simple, simply connected, compact Lie group G is bounded above by the sum of the relative categories of certain distinguished conjugacy classes in G corresponding to the vertices of the fundamental alcove for the action of the affine Weyl group on the Lie algebra of a maximal torus of G.
Keywords
Cite
@article{arxiv.0901.2157,
title = {Distinguished orbits and the L-S category of simply connected compact Lie groups},
author = {Markus Hunziker and Mark R. Sepanski},
journal= {arXiv preprint arXiv:0901.2157},
year = {2009}
}
Comments
10 pages, 2 figures