3 papers
math.RT2025
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…
math.RT2019
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…
math.RT2018
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…