Article ID Journal Published Year Pages File Type
4660138 Topology and its Applications 2009 9 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology