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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 042, 19 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.042 (Mi sigma70) 		 
On Transitive Systems of Subspaces in a Hilbert Space

Yuliya P. Moskalevaa, Yurii S. Samoilenkob

a Taurida National University, 4 Vernads’kyi Str., Simferopol, 95007 Ukraine
b Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka Str., Kyiv-4, 01601 Ukraine
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DOI: https://doi.org/10.3842/SIGMA.2006.042
Abstract: 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.
Received: February 27, 2006; Published online April 12, 2006
Bibliographic databases:
Document Type: Article
MSC: 47A62; 16G20
Language: English
Citation: Yuliya P. Moskaleva, Yurii S. Samoilenko, “On Transitive Systems of Subspaces in a Hilbert Space”, SIGMA, 2 (2006), 042, 19 pp.
Citation in format AMSBIB
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\paper On Transitive Systems of Subspaces in a~Hilbert Space
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