Glasnik matematički, Vol. 55 No. 2, 2020.
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
Publication date:
23.12.2020.
Visits: 671 *