32 citations · 35 across the 4 of their papers we have counts for
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On the indecomposability in the category of representations of a quiver and in its subcategory of orthoscalar representations
S. A. Kruglyak, L. A. Nazarova, A. V. Roiter
One can regard the category of represenations of quivers in Hilbert spaces as a subcategory in the category of all representations, and at that objects, which are indecomposable in…
On Regular Locally Scalar Representations of Graph in Hilbert Spaces
S. A. Kruglyak, L. A. Nazarova, A. V. Roiter
We classify regular locally scalar (= orthoscalar) representations of graph in Hilbert spaces
Matrix Problems in Hilbert Spaces
A. V. Roiter, S. A. Kruglyak, L. A. Nazarova
We consider matrix problems in Hilbert spaces (orthoscalar representations of quivers and posets). A criterion of tameness of the problem of classification of indecomposable orthos…
Locally-scalar representations of graphs in the category of Hilbert spaces
S. A. Kruglyak, A. V. Roiter
In this paper authors consider representations of graphs in Hilbert spaces applying a restriction of local scalarity on them. It enables to obtain a theory, similar to the classica…