Original scientific paper

https://doi.org/10.3336/gm.55.2.04

On representations of reductive \(p\)--adic groups over \(\mathbb Q\)--algebras

Goran Muić ; Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia

Abstract

In this paper we study certain category of smooth modules for reductive \(p\)--adic groups analogous to the usual smooth complex representations but with the field of complex numbers replaced by a $\mathbb Q$--algebra. We prove some fundamental results in these settings, and as an example we give a classification of admissible unramified irreducible representations using the reduction to the complex case.

Keywords

Reductive $p$--adic groups; $\mathbb Q$--admissible representations; Hecke algebras

Hrčak ID:

248664

URI

https://hrcak.srce.hr/248664

Publication date:

23.12.2020.

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