Geodesic
On Transitive Systems of Subspaces in a Hilbert Space
Symmetry, integrability and geometry: methods and applications, Tome 2 (2006) Cet article a éte moissonné depuis la source Math-Net.Ru

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Methods 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 $n\geq 5$.
Keywords: algebras generated by projections; irreducible inequivalent representations; transitive nonisomorphic systems of subspaces. 
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Yuliya P. Moskaleva; Yurii S. Samoilenko. On Transitive Systems of Subspaces in a Hilbert Space. Symmetry, integrability and geometry: methods and applications, Tome 2 (2006). http://geodesic.mathdoc.fr/item/SIGMA_2006_2_a41/

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