Thick Subcategories of Discrete Derived Categories

Nathan T. Broomhead

doi:10.1016/j.aim.2018.07.029

Thick Subcategories of Discrete Derived Categories

Nathan T. Broomhead

School of Engineering, Computing and Mathematics

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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.

Original language	English
Number of pages	0
Journal	Advances in Mathematics
Volume	0
Issue number	0
Early online date	7 Aug 2018
DOIs	https://doi.org/10.1016/j.aim.2018.07.029
Publication status	Published - 1 Oct 2018

Keywords

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

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10.1016/j.aim.2018.07.029

ManuscriptLicence: CC BY-NC-ND

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AB - 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.

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KW - 16G20

KW - 18E30

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KW - Thick subcategories

KW - ES-collections

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Thick Subcategories of Discrete Derived Categories

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Keywords

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