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Representations of posets: linear versus unitary

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Author(s):
Futorny, Vyacheslav ; Samoilenko, Yurii ; Yusenko, Kostyantyn ; Abramov, V ; Fuchs, J ; Paal, E ; Shestopalov, Y ; Silvestrov, S ; Stolin, A
Total Authors: 9
Document type: Journal article
Source: WAKE CONFERENCE 2021; v. 346, p. 17-pg., 2012-01-01.
Abstract

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. (AU)

FAPESP's process: 10/15781-0 - Stable vector bundles over projective plane and representations of posets in the category of unitary spaces
Grantee:Kostiantyn Iusenko
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 10/50347-9 - Algebras, representations e applications
Grantee:Ivan Chestakov
Support Opportunities: Research Projects - Thematic Grants