M. Bardoe and P. Sin, The permutation modules for GL(n + 1, Fq) acting on P n (Fq) and F n+1 q, J. London Math. Soc, pp.61-58, 2000.

L. Barthel and R. Livné, Irreducible modular representation of GL 2 of a local field, Duke Math, J, vol.75, pp.261-292, 1994.

L. Barthel and R. Livné, Modular Representations of GL2 of a Local-Field: The Ordinary, Unramified Case, Journal of Number Theory, vol.55, issue.1, pp.1-27, 1995.
DOI : 10.1006/jnth.1995.1124

C. Breuil, Correspondance de Langlands p-adique, compatibilité local-global et applications , Seminaire Bourbaki 1031, to appear in Astérisque, Sur quelques répresentations modulaires et p-adiques de GL 2 (Qp) I, Compositio Math, pp.138-165, 2003.

. C. Bp, V. Breuil, and . Paskunas, Towards a modulo p Langlands correspondence for GL 2 Memoirs of Amer, Math. Soc, p.216, 2012.

]. H. Car and . Carayol, Sur les représentations galoisiennes modulo attachées aux formes modulaires , Duke Math, J, vol.59, pp.785-801, 1989.

P. Colmez, Représentations de GL 2 (Qp) et (?, ?)-modules, Astérisque, vol.330, pp.281-509, 2010.

. M. Eh, D. Emerton, and . Helm, The local Langlands correspondence for GLn in families, preprint (2011) available at http://www.math.uchicago.edu/ emerton/pdffiles/families .pdf [Eme10] M. Emerton, Local-global compatibility in the p-adic Langlands programm for GL 2, 2011.

F. Herzig, Abstract, Compositio Mathematica, vol.25, issue.01, pp.263-283, 2011.
DOI : 10.1112/S0010437X10004951

F. Herzig, The classification of irreducible admissible mod p representations of a p-adic GL n, Inventiones mathematicae, vol.15, issue.2, pp.373-434, 2011.
DOI : 10.1007/s00222-011-0321-z

Y. Hu, Sur quelques repr??sentations supersinguli??res de <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi mathvariant="normal">GL</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi mathvariant="double-struck">Q</mml:mi><mml:msup><mml:mi>p</mml:mi><mml:mi>f</mml:mi></mml:msup></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math>, Journal of Algebra, vol.324, issue.7, pp.1577-1615, 2010.
DOI : 10.1016/j.jalgebra.2010.06.006

C. Khare, Congruences between cusp forms: the (p, p) case, Duke Math, J, vol.80, pp.631-667, 1995.

M. Kisin, Deformations of G Qp and GL 2 (Qp) representations, Astérisque, vol.330, pp.529-542, 2010.

B. Mazur, [Mo1] S. Morra, Explicit description of irreducible GL 2 (Qp)-representations over Fp, Mo2] S. Morra, Invariant elements under some congruence subgroups for irreducible GL 2 (Qp) representations over Fp, pp.47-252, 1977.

]. S. Mo4 and . Morra, Multiplicity theorems modulo p for GL 2 (Qp), preprint 2010. [Mo5] S.Morra On some representations of the Iwahori subgroup, J. of Number Theory, vol.132, pp.1074-1150, 2012.

]. S. Mo7 and . Morra, Iwasawa modules and p-modular representations of GL 2 over a function field, in preparation. [Pas1] V. Paskunas, The image of Colmez's Montreal functor preprint, 2010.

V. Paskunas, Extension for supersingular representations of GL 2 (Qp), Astérisque, vol.331, pp.317-353, 2010.

J. Serre, Sur les repr???sentations modulaires de degr??? $2$, Sur les représentations modulaires de degré 2 de Gal, pp.179-230, 1987.
DOI : 10.1215/S0012-7094-87-05413-5