32 citations · 45 across the 9 of their papers we have counts for
9 papers · 1 filter
Orthoscalar representations of quivers on the category of Hilberts spaces. II
A. V. Roiter, S. A. Kryglyak, L. A. Nazarova
As it is known, finitely presented quivers correspond to Dynkin graphs (Gabriel, 1972) and tame quivers -- to extended Dynkin graphs (Donovan and Freislich, Nazarova, 1973). In the…
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…
Antimonotonous quadratic forms and partially ordered sets
L. A. Nazarova, A. V. Roiter, M. N. Smirnova
Antimonotonous quadratic forms generalizing P-faithful posets defined by authors earlier are introduced. The criterion of antimonotonousness is given for posets with positive semid…
Singular locally-scalar representations of quivers in Hilbert spaces and separating functions
I. K. Redchuk, A. V. Roiter
A numeric function : was considered in [1]. In its terms criterions of finite representability and tameness of marked quivers, posets with equi…