Gluing simple-minded collections in triangulated categories
Representation Theory
2024-02-19 v2 Category Theory
Abstract
We provide a technique to glue simple-minded collections along a recollement of Hom-finite Krull-Schmidt triangulated categories over a field. This gluing technique for simple-minded collections is shown to be compatible with those for gluing bounded -structures, silting objects, and co--structures in the literature. Furthermore, it also enjoys the properties of preserving partial order and commuting with the operation of mutation.
Keywords
Cite
@article{arxiv.2210.04419,
title = {Gluing simple-minded collections in triangulated categories},
author = {Yongliang Sun and Yaohua Zhang},
journal= {arXiv preprint arXiv:2210.04419},
year = {2024}
}
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23 pages