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Splendid and perverse equivalences
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dreyfus-Schmidt, Leo |
| Copyright Year | 2014 |
| Abstract | Inspired by the works of Rickard on splendid equivalences and of Chuang and Rouquier on perverse equivalences, we are here interested in the combination of both, a splendid perverse equivalence. This is naturally the right framework to understand the relations between global and local perverse equivalences between blocks of finite groups, as a splendid equivalence induces local derived equivalences via the Brauer functor. We prove that under certain conditions, we have an equivalence between a perverse equivalence between the homotopy category of p-permutation modules and local derived perverse equivalences, in the case of abelian defect group. |
| Starting Page | 282 |
| Ending Page | 297 |
| Page Count | 16 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.jalgebra.2015.10.018 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1406.2123v2.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.jalgebra.2015.10.018 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |