On Representations of Reductive $p$--adic Groups over $\mathbb Q$--algebras
Number Theory
2019-05-13 v2 Representation Theory
Abstract
In this paper we study certain category of smooth modules for reductive --adic groups analogous to the usual smooth complex representations but with the field of complex numbers replaced by a --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 --invariants is finite dimensional in an irreducible smooth unramified representation that the representation is admissible.
Cite
@article{arxiv.1905.01949,
title = {On Representations of Reductive $p$--adic Groups over $\mathbb Q$--algebras},
author = {Goran Muić},
journal= {arXiv preprint arXiv:1905.01949},
year = {2019}
}
Comments
In v.2 we updated references and the introduction