Pro-p Iwahori Hecke algebras and the dual Vinberg monoid
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866914301605838848 |
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| author | Schmidt, Tobias |
| author_facet | Schmidt, Tobias |
| contents | Let G be a split reductive group over the integers, F a p-adic local field with residue field Fq. We relate the pro-p-Iwahori Hecke algebra H of G(F) over Fq to the Vinberg monoid of the dual group and study this relation. As an application, in the GL(n)-case and for F/Qp unramified, we derive a parametrization of SpecZ by semisimple n-dimensional representations of the absolute Galois group of F, generalizing the known case n = 2. Here Z denotes the center of H. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_02209 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Pro-p Iwahori Hecke algebras and the dual Vinberg monoid Schmidt, Tobias Representation Theory Number Theory 11S37, 20C08 Let G be a split reductive group over the integers, F a p-adic local field with residue field Fq. We relate the pro-p-Iwahori Hecke algebra H of G(F) over Fq to the Vinberg monoid of the dual group and study this relation. As an application, in the GL(n)-case and for F/Qp unramified, we derive a parametrization of SpecZ by semisimple n-dimensional representations of the absolute Galois group of F, generalizing the known case n = 2. Here Z denotes the center of H. |
| title | Pro-p Iwahori Hecke algebras and the dual Vinberg monoid |
| topic | Representation Theory Number Theory 11S37, 20C08 |
| url | https://arxiv.org/abs/2602.02209 |