A restricted model for the bounded derived category of gentle algebras
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.
Authors
- Esha Gupta
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université de Versailles Saint-Quentin-en-Yvelines (FR)
- Université Paris-Saclay (FR)
- Laboratoire de Mathématiques Blaise Pascal (FR)
- Laboratoire de Mathématiques de Versailles (FR)
Publication Details
- Journal
- Journal of Algebra
- Published
- 2025-09-05
- DOI
- https://doi.org/10.1016/j.jalgebra.2025.08.018
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fondation Mathématique Jacques Hadamard