Distinguished orbits and the L-S category of simply connected compact Lie groups

Details Distinguished orbits and the L-S category of simply connected compact Lie groups Distinguished orbits and the L-S category of simply connected compact Lie groups

2009-01-15

arxiv.org/abs/0901.2157v2

Topology Appl. 156 (2009), 2443-2451

Mathematics

General Topology

10 pages, 2 figures

Scientific paper

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.

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