On Representations of Reductive $p$--adic Groups over $\mathbb Q$--algebras

Autor:	Goran Muić
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Mathematics - Number Theory Reductive $p$--adic groups $mathbb Q$--admissible representations Hecke algebras FOS: Mathematics Number Theory (math.NT) Representation Theory (math.RT) Mathematics::Representation Theory Mathematics - Representation Theory
Zdroj:	Glasnik matematički Volume 55 Issue 2
ISSN:	0017-095X 1846-7989
Popis:	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 proving by reduction to the complex case that if the space of $K$--invariants is finite dimensional in an irreducible smooth unramified representation that the representation is admissible. In v.2 we updated references and the introduction
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d95f3003b99583eff07d8f5d52bad85f http://arxiv.org/abs/1905.01949 Zobrazit plný text záznamu