Representations of posets: Linear versus Unitary

Details Representations of posets: Linear versus Unitary Representations of posets: Linear versus Unitary

2012-02-17

arxiv.org/abs/1202.3917v1

Mathematics

Representation Theory

22 pages

Scientific paper

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.

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