Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object
Representation Theory
2016-01-01 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.1512.09321,
title = {Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object},
author = {Raquel Coelho Simoes},
journal= {arXiv preprint arXiv:1512.09321},
year = {2016}
}
Comments
19 pages, 4 figures