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Gluing simple-minded collections in triangulated categories
- 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
- Subjects :
- Mathematics - Representation Theory
Mathematics - Category Theory
18G80, 16E35
Subjects
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