2 citations · 6 across the 8 of their papers we have counts for
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Stability for socle-projective categories of type
Kostiantyn Iusenko, Gabriel Bravo Rios, Robinson-Julian Serna
We extend the notion of stability in the non-abelian category of poset representations (introduced by Futorny and Iusenko) to the category of socle-projective representations of a…
A functorial approach to Gabriel -quiver constructions for coalgebras and pseudocompact algebras
Kostiantyn Iusenko, John William MacQuarrie, Samuel Quirino
We define the path coalgebra and Gabriel quiver constructions as functors between the category of -quivers and the category of pointed -coalgebras, for a field. We define…
On dimension of poset variety
Claudia Cavalcante Fonseca, Kostiantyn Iusenko
For a finite partially ordered set we calculate the dimension of the variety of its subspace representations having fixed dimension vector. The dimension is given in terms of the E…
Stable representations of posets
Vyacheslav Futorny, Kostiantyn Iusenko
The purpose of this paper is to study stable representations of partially ordered sets (posets) and compare it to the well known theory for quivers. In particular, we prove that ev…
Quivers, Algebras and Adjoint functors
Kostiantyn Iusenko
These are the notes for a minicourse held in Odessa (2016) and Belo Horizonte (2017). My aim was to provide a short introduction to basic notions of category theory and representat…
Some remarks on Hall algebra of bound quiver
Kostiantyn Iusenko, Evan Wilson
In this paper we describe the twisted Hall algebra of bound quiver with small homological dimension. The description is given in the terms of the quadratic form associated with the…