On the exactness of ordinary parts over a ...
Document type :
Article dans une revue scientifique: Article original
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Title :
On the exactness of ordinary parts over a local field of characteristic $p$
Author(s) :
Journal title :
Pacific Journal of Mathematics
Pages :
17-30
Publisher :
Mathematical Sciences Publishers
Publication date :
2018
ISSN :
0030-8730
HAL domain(s) :
Mathématiques [math]/Théorie des représentations [math.RT]
Mathématiques [math]/Théorie des nombres [math.NT]
Mathématiques [math]/Théorie des nombres [math.NT]
English abstract : [en]
Let $G$ be a connected reductive group over a non-archimedean 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 $R$, ...
Show more >Let $G$ be a connected reductive group over a non-archimedean 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 $G$.Show less >
Show more >Let $G$ be a connected reductive group over a non-archimedean 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 $G$.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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Submission date :
2025-01-24T16:14:07Z
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