Thick Subcategories of Discrete Derived Categories
Representation Theory
2016-08-25 v1
Abstract
We classify the thick subcategories of discrete derived categories. To do this we introduce certain generating sets called arc-collections which correspond to configurations of non-crossing arcs on a geometric model. We show that every thick subcategory is generated by an arc-collection, each thick subcategory is determined by the topology of the corresponding configuration, and we describe a version of mutation which acts transitively on the set of arc-collections generating a given thick subcategory.
Cite
@article{arxiv.1608.06904,
title = {Thick Subcategories of Discrete Derived Categories},
author = {Nathan T Broomhead},
journal= {arXiv preprint arXiv:1608.06904},
year = {2016}
}
Comments
42 pages, 10 figures