Coefficient systems and supersingular representations of $GL_2(F)$

Details Coefficient systems and supersingular representations of $GL_2(F)$ Coefficient systems and supersingular representations of $GL_2(F)$

2004-03-15

arxiv.org/abs/math/0403240v1

Mathematics

Representation Theory

90 pages

Scientific paper

Let $F$ be a non-Archimedean local field with the residual characteristic $p$. We construct a "good" number of smooth irreducible $\bar{\mathbf{F}}_p$-representations of $GL_2(F)$, which are supersingular in the sense of Barthel and Livn\'e. If $F=\mathbf{Q}_p$ then results of Breuil imply that our construction gives all the supersingular representations up to the twist by an unramified quasi-character. We conjecture this is true for arbitrary $F$.

Affiliated with

Also associated with

No associations

Rating

Coefficient systems and supersingular representations of $GL_2(F)$ 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 Coefficient systems and supersingular representations of $GL_2(F)$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coefficient systems and supersingular representations of $GL_2(F)$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-702066