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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.02209 |
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Table of 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.