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math.RT2006
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…
math.RT2006★ 1 cited
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
math.RT2006★ 2 cited
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…