28 citations · 40 across the 6 of their papers we have counts for
6 papers
Systems of subspaces of a unitary space
Vitalij M. Bondarenko, Vyacheslav Futorny, Tatiana Klimchuk +2
For a given poset, we consider its representations by systems of subspaces of a unitary space ordered by inclusion. We classify such systems for all posets for which an explicit cl…
Representations of posets: Linear versus Unitary
Vyacheslav Futorny, Yurii Samoilenko, Kostyantyn Yusenko
A number of recent papers treated the representation theory of partially ordered sets in unitary spaces with the so called orthoscalar relation. Such theory generalizes the classic…
Kleiner's theorem for unitary representations of posets
Yurii Samoilenko, Kostyantyn Yusenko
A subspace representation of a poset is given by a system consisting of a vector space and its subspaces such that $V_i\sub…
Unitarizable representations of quivers
Thorsten Weist, Kostyantyn Yusenko
We investigate representations of *-algebras associated with posets. Unitarizable representations of the corresponding (bound) quivers (which are polystable representations for som…
Unitarization of linear representations of non-primitive posets
Roman Grushevoi, Kostyantyn Yusenko
We prove that partially ordered set has finite number of finite-dimensional indecomposable nonequivalent Hilbert representations with orthoscalarity condition if and anly if it has…
On the unitarization of linear representations of primitive partially ordered sets
Roman Grushevoy, Kostyantyn Yusenko
We describe all weights which are appropriated for the unitarization of linear representations of primitive partially ordered sets of finite type.