Gluing simple-minded collections in triangulated categories
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866911777911996416 |
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| author | Sun, Yongliang Zhang, Yaohua |
| author_facet | Sun, Yongliang Zhang, Yaohua |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_04419 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Gluing simple-minded collections in triangulated categories Sun, Yongliang Zhang, Yaohua Representation Theory Category Theory 18G80, 16E35 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. |
| title | Gluing simple-minded collections in triangulated categories |
| topic | Representation Theory Category Theory 18G80, 16E35 |
| url | https://arxiv.org/abs/2210.04419 |