On the exactness of ordinary parts over a local field of characteristic $p$
Abstract
Let $G$ be a connected reductive group over a nonarchimedean local field $F$ of residue characteristic $p$, $P$ be a parabolic subgroup of $G$, and $R$ be a commutative ring. When $R$ is artinian, $p$ is nilpotent in $R$, and $\mathrm{char}(F)=p$, we prove that the ordinary part functor $\mathrm{Ord}_P$ is exact on the category of admissible smooth $R$representations of $G$. We derive some results on Yoneda extensions between admissible smooth $R$representations of $G$.
 Publication:

arXiv eprints
 Pub Date:
 May 2017
 DOI:
 10.48550/arXiv.1705.02638
 arXiv:
 arXiv:1705.02638
 Bibcode:
 2017arXiv170502638H
 Keywords:

 Mathematics  Representation Theory;
 22E50
 EPrint:
 10 pages, reverted to v2