Augustin-Liviu Mare On two results of Singhof
Comment.Math.Univ.Carolinae 38,2 (1997) 379-383.
Abstract: For a compact connected semisimple Lie group G we shall prove two results (both related with Singhof’s paper [13]) on the Lusternik-Schnirelmann cat- egory of the adjoint orbits ofG, respectively the 1-dimensional relative category of a maximal torus T in G. The techniques will be classical, but we shall also apply some basic results concerning the so-calledA-category (cf. [14]).
Keywords: Lusternik-Schnirelmann category, Lie groups, adjoint orbits AMS Subject Classification: 55P50, 57T20, 57T15
1