Core blocks for Hecke algebras of type B and sign sequences
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866907758627913728 |
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| author | Lyle, Sinead |
| author_facet | Lyle, Sinead |
| contents | We consider the core blocks corresponding to the Hecke algebras of type B over a field of arbitrary characteristic. To each core block B, we associate two non-negative integers which determine the indexing of the Specht modules and simple modules in the block, the weight of the block, the multicharge of the algebra (up to a shift) and the block decomposition matrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_16319 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Core blocks for Hecke algebras of type B and sign sequences Lyle, Sinead Representation Theory 20C08 (Primary) 20C30, 05E10 (Secondary) We consider the core blocks corresponding to the Hecke algebras of type B over a field of arbitrary characteristic. To each core block B, we associate two non-negative integers which determine the indexing of the Specht modules and simple modules in the block, the weight of the block, the multicharge of the algebra (up to a shift) and the block decomposition matrix. |
| title | Core blocks for Hecke algebras of type B and sign sequences |
| topic | Representation Theory 20C08 (Primary) 20C30, 05E10 (Secondary) |
| url | https://arxiv.org/abs/2307.16319 |