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Article

Mare, Augustin-Liviu
On two results of Singhof. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 2, pp. 379-383
MSC: 55M30, 55P50, 57T15, 57T20 | MR 1455506 | Zbl 0886.55009
Keywords:
Lusternik-Schnirelmann category; Lie groups; adjoint orbits
Summary:
For a compact connected semisimple Lie group $G$ we shall prove two results (both related with Singhof's paper [13]) on the Lusternik-Schnirelmann category of the adjoint orbits of $G$, 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-called $\mathcal A$-category (cf. [14]).
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