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The pro-$p$-Iwahori Hecke algebra of a reductive $p$-adic group I.
- Source :
-
Compositio Mathematica . Apr2016, Vol. 152 Issue 4, p693-753. 61p. - Publication Year :
- 2016
-
Abstract
- Let $R$ be a commutative ring, let $F$ be a locally compact non-archimedean field of finite residual field $k$ of characteristic $p$, and let $\mathbf{G}$ be a connected reductive $F$-group. We show that the pro-$p$-Iwahori Hecke $R$-algebra of $G=\mathbf{G}(F)$ admits a presentation similar to the Iwahori–Matsumoto presentation of the Iwahori Hecke algebra of a Chevalley group, and alcove walk bases satisfying Bernstein relations. This was previously known only for a $F$-split group $\mathbf{G}$. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0010437X
- Volume :
- 152
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Compositio Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- 114485746
- Full Text :
- https://doi.org/10.1112/S0010437X15007666