Derived equivalences and delooping levels
Representation Theory
2026-03-16 v1
Abstract
We construct a finite-dimensional algebra derived equivalent to the example of Kershaw--Rickard. For the Kershaw--Rickard example the delooping level and the sub-derived delooping level are both infinite, while for our algebra both invariants are . Thus the finiteness of these invariants is not preserved under derived equivalences.
Cite
@article{arxiv.2603.12974,
title = {Derived equivalences and delooping levels},
author = {Liang Chen},
journal= {arXiv preprint arXiv:2603.12974},
year = {2026}
}
Comments
5 pages