A comparison between pro-$p$ Iwahori-Hecke modules and mod $p$ representations

A. Borel, Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup , Invent. Math. 35

1976

Earlier work this paper cites.

L. Barthel and R. Livné, Irreducible modular representations of GL 2 {\rm GL}_{2} of a local field , Duke Math. J. 75

1994

Earlier work this paper cites.

L. Barthel and R. Livné, Modular representations of GL 2 {\rm GL}_{2} of a local field: the ordinary, unramified case , J. Number Theory 55

1995

Earlier work this paper cites.

C. Breuil, Sur quelques représentations modulaires et p p -adiques de GL 2 ​ ( 𝐐 p ) {\rm GL}_{2}(\mathbf{Q}_{p}) . I , Compositio Math. 138

2003

Earlier work this paper cites.

M.-F. Vignéras, Représentations irréductibles de GL ⁡ ( 2 , F ) {\rm GL}(2,F) modulo p p , L L -functions and Galois representations, London Math. Soc. Lecture Note Ser., vol. 320, Cambridge Univ. Press, Cambridge, 2007, pp. 548–563

2007

Earlier work this paper cites.

R. Ollivier, Le foncteur des invariants sous l’action du pro- p p -Iwahori de GL 2 ​ ( F ) {\rm GL}_{2}(F) , J. Reine Angew. Math. 635

2009

Cited alongside, same era.

N. Abe, Generalized Jacquet modules of parabolically induced representations , Publ. Res. Inst. Math. Sci. 48

2012

Cited alongside, same era.

G. Henniart and M.-F. Vignéras, Comparison of compact induction with parabolic induction , Pacific J. Math. 260

2012

Cited alongside, same era.

M.-F. Vignéras, The pro- p p -Iwahori-Hecke algebra of a reductive p p -adic group, II , Münster J. Math. 7

2014

Cited alongside, same era.

M.-F. Vignéras, The pro-p Iwahori Hecke algebra of a reductive p-adic group, V (parabolic induction) , Pacific J. Math. 279

2015

Cited alongside, same era.

N. Abe, Modulo p p parabolic induction of pro- p p -Iwahori Hecke algebra , J. Reine Angew. Math., DOI:10.1515/crelle-2016-0043

2016

Later among the works it cites.

M.-F. Vignéras, The pro- p p -Iwahori Hecke algebra of a reductive p p -adic group I , Compos. Math. 152

2016

Later among the works it cites.

N. Abe, Change of weight theorem for pro- p p -Iwahori Hecke algebras , Around Langlands correspondences, Contemp. Math., vol. 691, Amer. Math. Soc., Providence, RI, 2017, pp. 1–13

2017

Later among the works it cites.

N. Abe, G. Henniart, F. Herzig, and M.-F. Vignéras, A classification of irreducible admissible mod p p representations of p p -adic reductive groups , J. Amer. Math. Soc. 30

2017

Later among the works it cites.

M.-F. Vigneras, The pro- p p -Iwahori Hecke algebra of a reductive p p -adic group III (spherical Hecke algebras and supersingular modules) , J. Inst. Math. Jussieu 16