Wild blocks of type $A$ Hecke algebras are strictly wild
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910933807267840 |
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| author | Speyer, Liron |
| author_facet | Speyer, Liron |
| contents | We prove that all wild blocks of type $A$ Hecke algebras with quantum characteristic $e \geqslant 3$ -- i.e. blocks of weight at least $2$ -- are strictly wild, with the possible exception of the weight $2$ Rouquier block for $e = 3$. As a corollary, we show that for $e \geqslant 3$, all wild blocks of the $q$-Schur algebras are strictly wild, without exception. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16477 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wild blocks of type $A$ Hecke algebras are strictly wild Speyer, Liron Representation Theory Rings and Algebras 20C08 (Primary) 05E10 16G10 16G60 (Secondary) We prove that all wild blocks of type $A$ Hecke algebras with quantum characteristic $e \geqslant 3$ -- i.e. blocks of weight at least $2$ -- are strictly wild, with the possible exception of the weight $2$ Rouquier block for $e = 3$. As a corollary, we show that for $e \geqslant 3$, all wild blocks of the $q$-Schur algebras are strictly wild, without exception. |
| title | Wild blocks of type $A$ Hecke algebras are strictly wild |
| topic | Representation Theory Rings and Algebras 20C08 (Primary) 05E10 16G10 16G60 (Secondary) |
| url | https://arxiv.org/abs/2408.16477 |