Simple-minded systems and reduction for negative Calabi-Yau triangulated categories
Representation Theory
2018-08-09 v1
Abstract
We develop the basic properties of -simple-minded systems in -Calabi-Yau triangulated categories for . The main result is a reduction technique for negative Calabi-Yau triangulated categories. We show that the theory of simple-minded systems exhibits striking parallels with that of cluster-tilting objects. Our construction provides an inductive technique for constructing simple-minded systems.
Keywords
Cite
@article{arxiv.1808.02519,
title = {Simple-minded systems and reduction for negative Calabi-Yau triangulated categories},
author = {Raquel Coelho Simoes and David Pauksztello},
journal= {arXiv preprint arXiv:1808.02519},
year = {2018}
}
Comments
33 pages, 1 figure