Representations of posets: Linear versus Unitary
  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 classical theory which studies the representations of partially ordered sets in linear spaces. It happens that the results in the unitary case are well-correlated with those in the linear case. The purpose of this article is to shed light on this phenomena. 
Vyacheslav Futorny, Yurii Samoilenko, Kostyantyn Yusenko
math.RT math.SG