Examples of hyperpolar actions of the automorphism groups of Lie algebras (Q898528)

The paper under review is devoted to the study of isometric actions obtained by the automorphism groups of Lie algebras on the noncompact symmetric space \(\mathrm{GL}_n(\mathbb{R})/\mathrm{O}(n)\). The authors show that the actions which come from some solvable Lie algebras provide examples of hyperpolar actions with singular orbit and of higher cohomogeneity.