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math.RT2012★ 28 cited
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…
math.RT2012★ 1 cited
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…