2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159517Methods of *-representations in Hilbert space are applied to study of systems of $n$ subspaces in a linear space. It is proved that the problem of description of $n$-transitive subspaces in a finite-dimensional linear space is *-wild for $n \geq 5$.Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/Representation TheoryFunctional AnalysisOperator Algebrastext