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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.03653 |
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| _version_ | 1866910686607572992 |
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| author | Kleshchev, Alexander |
| author_facet | Kleshchev, Alexander |
| contents | We study blocks of the double covers of symmetric and alternating groups. The main result is a `local' description, up to Morita equivalence, of arbitrary defect RoCK blocks of these groups in terms of generalized Schur superalgebras corresponding to an explicit Brauer tree superalgebra. In view of the recent results on Broué's Conjecture for these groups, our result provides a `local' description of an arbitrary block of the double covers of symmetric and alternating groups up to derived equivalence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03653 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | RoCK blocks of double covers of symmetric groups and generalized Schur algebras Kleshchev, Alexander Representation Theory 20C30, 20C20 We study blocks of the double covers of symmetric and alternating groups. The main result is a `local' description, up to Morita equivalence, of arbitrary defect RoCK blocks of these groups in terms of generalized Schur superalgebras corresponding to an explicit Brauer tree superalgebra. In view of the recent results on Broué's Conjecture for these groups, our result provides a `local' description of an arbitrary block of the double covers of symmetric and alternating groups up to derived equivalence. |
| title | RoCK blocks of double covers of symmetric groups and generalized Schur algebras |
| topic | Representation Theory 20C30, 20C20 |
| url | https://arxiv.org/abs/2411.03653 |