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

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arxiv 1512.09321 v1 pith:NBLGEK4V submitted 2015-12-31 math.RT math.CO

Raquel Coelho Simoes This is my paper · ORCID
classification math.RTmath.CO
keywords calabi-yaucategoriesgeneratedhighermutationsobjectssimple-mindedspherical
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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.

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  1. Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory

    math.RT 2025-08 unverdicted novelty 7.0 of 10

    The paper constructs infinite discrete Nakayama representations via persistence theory and stabilizes them into negative Calabi-Yau versions of Igusa-Todorov discrete cluster categories of type A, with geometric model...

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