Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object

Coelho Guardado Simoes, Raquel (2017) Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object. Forum Mathematicum, 29 (5). pp. 1065-1081. ISSN 0933-7741

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Abstract

In this article, we give a definition and a classification of ‘higher’ simple-minded systems in triangulated categories generated by spherical objects with negative Calabi–Yau dimension. We also study mutations of this class of objects and that of ‘higher’ Hom-configurations and Riedtmann configurations. This gives an explicit analogue of the ‘nice’ mutation theory exhibited in cluster-tilting theory.

Item Type:
Journal Article
Journal or Publication Title:
Forum Mathematicum
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2604
Subjects:
?? calabi–yau triangulated categorycluster-tilting objectsfunctorial finitenessmutationriedtmann configurationsimple-minded systemspherical objectapplied mathematicsgeneral mathematicsmathematics(all) ??
ID Code:
142025
Deposited By:
Deposited On:
03 Mar 2020 09:00
Refereed?:
Yes
Published?:
Published
Last Modified:
16 Jul 2024 11:23