ORCID

Abstract

We classify the thick subcategories of discrete derived categories. To do this we introduce certain generating sets called ES-collections which correspond to configurations of non-crossing arcs on a geometric model. We show that every thick subcategory is generated by an ES-collection and we describe a version of mutation which acts transitively on the set of ES-collections generating a given thick subcategory.

DOI

10.1016/j.aim.2018.07.029

Publication Date

2018-07-24

Publication Title

Advances in Mathematics

ISSN

0001-8708

Embargo Period

2019-08-07

Organisational Unit

School of Engineering, Computing and Mathematics

Keywords

math.RT, 16G20, 18E30, Discrete derived categories, Thick subcategories, ES-collections

Share

COinS