On representations of reductive p-adic groups over Q-algebras

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 ℚ-algebra. We prove some fundamental results in these settings, and as an example we give a classification o...

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Permalink: http://skupnikatalog.nsk.hr/Record/nsk.NSK01001098335/Details
Matična publikacija: Glasnik matematički (Online)
55 (2020), 2 ; str. 203-235
Glavni autor: Muić, Goran (Author)
Vrsta građe: e-članak
Jezik: eng
Predmet:
Online pristup: https://doi.org/10.3336/gm.55.2.04
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245 1 0 |a On representations of reductive p-adic groups over Q-algebras  |h [Elektronička građa] /  |c Goran Muić. 
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520 |a 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 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. 
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