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

  • Raquel Coelho Simões EMAIL logo
From the journal Forum Mathematicum


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.

Communicated by Frederick R. Cohen

Award Identifier / Grant number: SFRH/BPD/90538/2012

Funding statement: The author would like to thank Fundação para a Ciência e Tecnologia, for their financial support through Grant SFRH/BPD/90538/2012.


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Received: 2016-1-21
Revised: 2016-9-15
Published Online: 2016-11-17
Published in Print: 2017-9-1

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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