On some modular representations of the Borel subgroup of GL_2(Q_p)

Details On some modular representations of the Borel subgroup of GL_2(Q_p) On some modular representations of the Borel subgroup of GL_2(Q_p)

2008-10-28

arxiv.org/abs/0810.5083v5

Compositio Mathematica 146 (2010), no. 1, 58--80.

Mathematics

Number Theory

version 5 : final version, to appear in "Compositio Mathematica"

Scientific paper

Colmez has given a recipe to associate a smooth modular representation Omega(W) of the Borel subgroup of GL_2(Q_p) to a F_p^bar-representation W of Gal(Qp^bar/Qp) by using Fontaine's theory of (phi,Gamma)-modules. We compute Omega(W) explicitly and we prove that if W is irreducible and dim(W)=2, then Omega(W) is the restriction to the Borel subgroup of GL_2(Q_p) of the supersingular representation associated to W in Breuil's correspondence.

Affiliated with

Also associated with

No associations

Rating

On some modular representations of the Borel subgroup of GL_2(Q_p) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On some modular representations of the Borel subgroup of GL_2(Q_p), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On some modular representations of the Borel subgroup of GL_2(Q_p) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-486162