Fetching the paper…

Reading the bibliography…

2016

A canonical torsion theory for pro-p Iwahori-Hecke modules

Ollivier, Rachel, Schneider, Peter

Original
PDF
Post on X

Understand

Let $\mathfrak F$ be a locally compact nonarchimedean field with residue characteristic $p$ and $G$ the group of $\mathfrak{F}$-rational points of a connected split reductive group over $\mathfrak{F}$.

We define a torsion pair in the category Mod$(H)$ of modules over the pro-$p$-Iwahori Hecke $k$-algebra $H$ of $G$, where $k$ is an arbitrary field.
We prove that, under a certain hypothesis, the torsionfree class embeds fully faithfully into the category Mod${}^I(G)$ of smooth $k$-representations of $G$ generated by their pro-$p$-Iwahori fixed vectors.
If the characteristic of $k$ is different from $p$ then this hypothesis is always satisfied and the torsionfree class is the whole category Mod$(H)$.

A canonical torsion theory for pro-p Iwahori-Hecke modules · Around

Built on

Nakayama T.:
1941
Earlier work this paper cites.
Iwahori N., Matsumoto H.:
1965
Earlier work this paper cites.
Lazard M.:
1965
Earlier work this paper cites.
Brumer A.:
1966
Earlier work this paper cites.
Huppert B.:
1967
Earlier work this paper cites.
Stenström B.:
1975
Earlier work this paper cites.
Sawada H.:
1978
Earlier work this paper cites.
Serre J.-P.:
1979
Earlier work this paper cites.
Tits J.:
1979
Earlier work this paper cites.
Borel A., Wallach N.:
1980
Earlier work this paper cites.
Pletch A.:
1980
Earlier work this paper cites.
Tinberg N.B.:
1980
Earlier work this paper cites.
Brown K.S.:
1982
Earlier work this paper cites.

Similar

Levasseur T.:
1985
Cited alongside, same era.
Buchweitz R.-O.:
1987
Cited alongside, same era.
Schneider, P., Stuhler, U.:
1991
Cited alongside, same era.
Serre J.-P.:
1997
Cited alongside, same era.
Ajitabh K., Smith S.P., Zhang J.J.:
1998
Cited alongside, same era.
Neukirch J., Schmidt A., Wingberg K.:
2000
Cited alongside, same era.
Van den Bergh M.:
2001
Cited alongside, same era.
Cabanes M., Enguehard M.:
2004

Then

Ollivier, R.:
2010
Later among the works it cites.
Herzig, F.:
2011
Later among the works it cites.
Neukirch J.:
2011
Later among the works it cites.
Schneider P.:
2011
Later among the works it cites.
Grosse Klönne E.:
2013
Later among the works it cites.
Abdellatif, R.:
2014
Later among the works it cites.
Ollivier R.:
2014
Later among the works it cites.
Ollivier R.:
2014
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

Vignéras M.-F.:

2004

Cited alongside, same era.

Lubotzky A.:

2005

Cited alongside, same era.

Vignéras M.-F.:

2005

Cited alongside, same era.

Ollivier R.:

2009

Cited alongside, same era.

Ollivier R., Schneider P.:

2014

Later among the works it cites.

Harris M.:

2015

Later among the works it cites.

Ollivier R., Sécherre V.:

2015

Later among the works it cites.

Schneider P.:

2015

Later among the works it cites.

Koziol K.:

2016

Closest in time.