Distinguished Orbits and the L-s Category of Simply Connected Compact Lie Groups

نویسندگان

  • MARKUS HUNZIKER
  • MARK R. SEPANSKI
چکیده

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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تاریخ انتشار 2009