Raising the level for-Reference-Cited by-同舟云学术

Raising the level for

Published:2014-06-01 Issue: Volume:2 Page:
ISSN:2050-5094
Container-title:Forum of Mathematics, Sigma
language:en
Short-container-title:Forum math. Sigma

Author:

THORNE JACK A.

Abstract

AbstractWe prove a simple level-raising result for regular algebraic, conjugate self-dual automorphic forms on

$\mathrm{GL}_n$

. This gives a systematic way to construct irreducible Galois representations whose residual representation is reducible.

Publisher

Cambridge University Press (CUP)

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis

Reference32 articles.

1. [Shi] S. W. Shin , ‘Supercuspidal part of the mod $l$ cohomology of $\mathrm{GU}(1,n-1)$ -Shimura varieties’, J. Reine Angew Math. (to appear).

2. Banal Characteristic for Reductive p-Adic Groups

3. Number theoretic background

4. [Tho] J. A. Thorne , ‘Automorphy lifting theorems for residually reducible $l$ -adic Galois representations’, J. AMS, Preprint.

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