3 papers
math.RT2026
A geometric realization of socle-projective categories for posets of type
Gabriel Bravo Rios, Ralf Schiffler, Robinson-Julian Serna
We introduce posets of type , a family of posets described by an admissible Dynkin quiver of type together with a compatible set of extra arrows (alien arrows), a…
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 geometric realization of socle-projective categories for posets of type
Ralf Schiffler, Robinson-Julian Serna
This paper establishes a link between the theory of cluster algebras and the theory of representations of partially ordered sets. We introduce a class of posets by requiring avoida…