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

Published 31 Dec 2015 in math.RT and math.CO | (1512.09321v1)

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.

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Authors (1)

Raquel Coelho Simoes

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