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On some symplectic quotients of Schubert varieties.

Mare, Augustin-Liviu — 2010

Beiträge zur Algebra und Geometrie

On two results of Singhof

Augustin-Liviu Mare — 1997

Commentationes Mathematicae Universitatis Carolinae

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 $𝒜$ -category (cf. [14]).

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