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arxiv: math/0602677 · v3 · submitted 2006-02-28 · 🧮 math.RT · math.FA· math.OA

On Transitive Systems of Subspaces in a Hilbert Space

classification 🧮 math.RT math.FAmath.OA
keywords spacesubspaceshilbertlinearsystemstransitiveapplieddescription
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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 $n \geq 5$.

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