Interesses na pesquisa
Métodos geométricos, homológicos e categóricos na teoria das representaçõesLattes ResearchGate
Seminarios
Abaixo está uma lista de seminarios que estou (co-)organizando. Entre em contato comigo se quer participar e/ou apresentar uma palestra:Articles and Preprints
Artigos
- Kostiantyn Iusenko, Eduardo do Nascimento Marcos, Victor do Valle Pretti. A relative homology criteria of smoothness.
Preprint - Kostiantyn Iusenko, John MacQuarrie. Semisimplicity and separability for pseudocompact
algebras.
accepted in Journal of Algebra and its Applications , DOI: 10.1142/S0219498825500781. - Kostiantyn Iusenko, John MacQuarrie. Homological properties of extensions of abstract and pseudocompact algebras.
Preprint - Kostiantyn Iusenko, John MacQuarrie, Samuel Quirino. A functorial approach to Gabriel k-quiver constructions for coalgebras and pseudocompact algebras.
Bulletin of the Brazilian Mathematical Society. (2021), 1—23. 10.1007/s00574-020-00227-4 - Kostiantyn Iusenko, John MacQuarrie. The path algebra as a left adjoint functor.
Algebr. Represent. Theory 23 (2020), no. 1, 33—52. DOI: 10.1007/s10468-018-9836-y - Vyacheslav Futorny, Kostiantyn Iusenko. Stable representations of posets.
J. Pure Appl. Algebra 223 (2019), no. 12, 5251—5278. MR3975065. DOI: 10.1016/j.jpaa.2019.03.020 - Claudia Cavalcante Fonseca, Kostiantyn Iusenko. On dimension of poset variety.
Linear Algebra Appl. 568 (2019), pp. 155—164. (DOI: 10.1016/j.laa.2018.06.019) - Kostiantyn Iusenko, Evan Wilson. Some remarks on Hall algebras of bound quivers.
SP Journal of Mathematical Sciences, 8 (2014), no. 1, pp. 83—94 - Vitalij M. Bondarenko, Vyacheslav Futorny, Tatiana Klimchuk, Vladimir V. Sergeichuk, Kostyantyn Yusenko. Systems of subspaces of a unitary space.
Linear Algebra Appl. 438 (2013), no. 5, pp. 2561—2573. - Kostyantyn Yusenko, Thorsten Weist. Unitarizable representations of quivers.
Algebr. Represent. Theory 16 (2013), no.5, pp. 1349—1383. - Futorny Vyacheslav, Samoilenko Yurii, Kostyantyn Yusenko. Representations of posets: Linear vs Unitary
Journal of Physics: Conference Series, 346, 1, (2012), pp. 12006—12022, available at . - Samoilenko Yurii, Kostyantyn Yusenko. Kleiner's theorem for unitary representations of posets.
Linear Algebra and Its Applications 437, Issue 2, (2012), pp. 581—588, available at . - Roman Grushevoy, Kostyantyn Yusenko. On the unitarization of linear representations of primitive
partially ordered sets.
Operator Theory: Advances and Applications 190, (2008), pp. 279—294. - Yu. P. Moskaleva, V. L. Ostrovskii, K. A. Yusenko. On quadruples of linearly connected projections and transitive systems of subspaces.
Methods Funct. Anal. Topol. 13 (2007), no. 1, pp. 43—49. - Kostyantyn Yusenko. On quadruples of projections connected with linear relation.
Ukr. Math. J. 58 (2006), no. 9, pp. 1289—1295. - Kostyantyn Yusenko. On existence of *-representations of certain algebras related to extended Dynkin graphs.
Methods Funct. Anal. Topol. 12 (2006), no. 2, pp. 197—204.
Preprints
- Kostyantyn Yusenko, Thorsten Weist. Unitarizable representations of quivers. preprint, 22p. Preprint 2011:4, Chalmers University of Technology, also available here ArXiv
- Roman Grushevoy, Kostyantyn Yusenko. Unitarization of linear representations of non-primitive posets. preprint, 32p., Preprint 2010:35, Chalmers University of Technology, also available here ArXiv
Notas das aulas
- Coalgebras, pseudocompact algebras and their representations (Exercises)
- Quivers, algebras and adjoint functors (v.2)