Work

On the number of cokernel-closed additive subcategories for uniformly oriented $A_n$ quivers

Year: 2026

Type: preprint

Abstract: We study the integer sequence that enumerates cokernel-closed, idempotent split, full, additive subcategories of the category of finite dimensional complex representations of a uniformly oriented $A_n$ quiver. Using a combinatorial model, we describe a non-obvious connection of this sequence to Catalan numbers and derive an implicit recurrence. We also describe some basic properties of the lattice underlying the sequences, in particular, we give an explicit description of the meet irreducible elements of that lattice.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.07999

Authors: Mazorchuk, Volodymyr, Xu, Shuoyang

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Vetenskapsrådet, Fundamental Research Funds for the Central Universities

OpenAlex ID: W7220971476

Cites: 3

Cited by:

Related to: 10