32 citations · 34 across the 4 of their papers we have counts for
5 papers
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…
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…
The norm of a relation, separating functions and representations of marked quivers
L. A. Nazarova, A. V. Roiter
Numerical functions, which characterize Dynkin schemes, Coxeter graphs and tame marked quivers, are considered.
Representations of marked quivers
A. V. Roiter
We introduce a generalization of representations of quivers that contains also representations of posets, vectorspace problems and other matrix problems. Many examples, some of whi…