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