Work

A restricted model for the bounded derived category of gentle algebras

Year: 2025

Type: article

Abstract: We present a restricted model for the bounded derived category of gentle algebras that encodes the indecomposable objects and positive extensions between them. The model is then used to count the number of d -term silting objects for linearly oriented A n , recovering the result that they are counted by the Pfaff-Fuss-Catalan numbers.

Source: Journal of Algebra

DOI: 10.1016/j.jalgebra.2025.08.018

Author: Esha Gupta

Institutions: Centre National de la Recherche Scientifique, Université de Versailles Saint-Quentin-en-Yvelines, Université Paris-Saclay, Laboratoire de Mathématiques de Versailles

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,310

Funder: Fondation Mathématique Jacques Hadamard