The bounded derived category of a poset
Representation Theory
2017-09-12 v1 Combinatorics
Abstract
We introduce a new combinatorial condition on a subinterval of a poset P (a clamped subinterval) that allows us to relate the Auslander-Reiten quiver of the bounded derived category of P to that of the subinterval. Applications include the determination of when a poset is fractionally Calabi-Yau and the computation of the Auslander-Reiten quivers of both the bounded derived category and of the module category.
Keywords
Cite
@article{arxiv.1709.03227,
title = {The bounded derived category of a poset},
author = {Kosmas Diveris and Marju Purin and Peter Webb},
journal= {arXiv preprint arXiv:1709.03227},
year = {2017}
}