Intersections of blocks of cyclotomic Hecke algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915844186963968 |
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| author | Chlouveraki, Maria Malle, Gunter |
| author_facet | Chlouveraki, Maria Malle, Gunter |
| contents | Trinh and Xue have proposed a startling conjecture on intersections of blocks of cyclotomic Hecke algebras occurring in modular representation theory of finite reductive groups. We prove this conjecture for all exceptional type groups apart from $E_8$. We also propose several generalisations, to Suzuki and Ree groups, to non-rational Coxeter groups and even more generally to spetsial complex reflection groups, and confirm these in various cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12973 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Intersections of blocks of cyclotomic Hecke algebras Chlouveraki, Maria Malle, Gunter Representation Theory 20C08, 20C33 Trinh and Xue have proposed a startling conjecture on intersections of blocks of cyclotomic Hecke algebras occurring in modular representation theory of finite reductive groups. We prove this conjecture for all exceptional type groups apart from $E_8$. We also propose several generalisations, to Suzuki and Ree groups, to non-rational Coxeter groups and even more generally to spetsial complex reflection groups, and confirm these in various cases. |
| title | Intersections of blocks of cyclotomic Hecke algebras |
| topic | Representation Theory 20C08, 20C33 |
| url | https://arxiv.org/abs/2506.12973 |