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Stable vector bundles over projective plane and representations of posets in the category of unitary spaces

Grant number: 10/15781-0
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): March 01, 2011
Effective date (End): September 30, 2012
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal researcher:Vyacheslav Futorny
Grantee:Kostiantyn Iusenko
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:10/50347-9 - Algebras, representations e applications, AP.TEM


This project is aimed to study the representation theory of partially ordered sets in unitary spaces with additional linear relation. Importance of such objects is due to their applications to moduli problems such as: description of toric vector bundles over projective plane, description of rigid unitary representations of the fundamental group over punctured disc among the others. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
SAMOILENKO, YURII; YUSENKO, KOSTYANTYN. Kleiner's theorem for unitary representations of posets. Linear Algebra and its Applications, v. 437, n. 2, p. 581-588, . (10/15781-0)
BONDARENKO, VITALIJ M.; FUTORNY, VYACHESLAV; KLIMCHUK, TATIANA; SERGEICHUK, VLADIMIR V.; YUSENKO, KOSTYANTYN. Systems of subspaces of a unitary space. Linear Algebra and its Applications, v. 438, n. 5, p. 2561-2573, . (10/15781-0, 10/50347-9)

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