Derived equivalences and delooping levels
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908884223918080 |
|---|---|
| author | Chen, Liang |
| author_facet | Chen, Liang |
| contents | We construct a finite-dimensional algebra derived equivalent to the example of Kershaw--Rickard. For the Kershaw--Rickard example the delooping level and the sub-derived delooping level are both infinite, while for our algebra both invariants are $0$. Thus the finiteness of these invariants is not preserved under derived equivalences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_12974 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Derived equivalences and delooping levels Chen, Liang Representation Theory Primary 16E10, 16E35, Secondary 16G10 We construct a finite-dimensional algebra derived equivalent to the example of Kershaw--Rickard. For the Kershaw--Rickard example the delooping level and the sub-derived delooping level are both infinite, while for our algebra both invariants are $0$. Thus the finiteness of these invariants is not preserved under derived equivalences. |
| title | Derived equivalences and delooping levels |
| topic | Representation Theory Primary 16E10, 16E35, Secondary 16G10 |
| url | https://arxiv.org/abs/2603.12974 |