Kostiantyn Iusenko


Research interests

Geometric, Homological and Categorical methods in Representation theory   
 Lattes      ResearchGate


Below is a list of research/study seminars I am (co)-organizing. Contact me if you with to participate and/or present some talk:

Articles and Preprints


  1. Kostiantyn Iusenko, John MacQuarrie Semisimplicity and separability for pseudocompact algebras.
  2. Kostiantyn Iusenko, John MacQuarrie Homological properties of extensions of abstract and pseudocompact algebras.
  3. 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
  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
  5. 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
  6. 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)
  7. Kostiantyn Iusenko, Evan Wilson. Some remarks on Hall algebras of bound quivers.
        SP Journal of Mathematical Sciences, 8 (2014), no. 1, pp. 83—94
  8. 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.
  9. Kostyantyn Yusenko, Thorsten Weist. Unitarizable representations of quivers.
        Algebr. Represent. Theory 16 (2013), no.5, pp. 1349—1383.
  10. 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 .
  11. 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 .
  12. 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.
  13. 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.
  14. Kostyantyn Yusenko. On quadruples of projections connected with linear relation.
         Ukr. Math. J. 58 (2006), no. 9, pp. 1289—1295.
  15. 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.


  1. Kostyantyn Yusenko, Thorsten Weist. Unitarizable representations of quivers. preprint, 22p. Preprint 2011:4, Chalmers University of Technology, also available here ArXiv
  2. 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

Lecture Notes

  1. Quivers, algebras and adjoint functors (v.2)