A restricted model for the bounded derived category of gentle algebras
Representation Theory
2024-07-23 v2 Combinatorics
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 -term silting objects for linearly oriented , recovering the result that they are counted by the Pfaff-Fuss-Catalan numbers.
Keywords
Cite
@article{arxiv.2407.13627,
title = {A restricted model for the bounded derived category of gentle algebras},
author = {Esha Gupta},
journal= {arXiv preprint arXiv:2407.13627},
year = {2024}
}
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13 pages