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Gluing simple-minded collections in triangulated categories

Authors :
Sun, Yongliang
Zhang, Yaohua
Source :
J. Alg., 2024, 645:54-85
Publication Year :
2022

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 $t$-structures, silting objects, and co-$t$-structures in the literature. Furthermore, it also enjoys the properties of preserving partial order and commuting with the operation of mutation.<br />Comment: 23 pages

Details

Database :
arXiv
Journal :
J. Alg., 2024, 645:54-85
Publication Type :
Report
Accession number :
edsarx.2210.04419
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.jalgebra.2024.01.032