ORCID
- Broomhead, Nathan: 0000-0002-2710-215X
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
2018-10-01
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
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Recommended Citation
Broomhead, N. T. (2018) 'Thick Subcategories of Discrete Derived Categories', Advances in Mathematics, . Available at: https://doi.org/10.1016/j.aim.2018.07.029
