On the Liftings of 2-Dimensional Projective Galois Representations overQ

✍ Scribed by Ian Kiming

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 756 KB
• Volume: 56
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1996.0003

✦ Synopsis

We show how the problem of determining the possible Artin conductors and determinant characters of liftings of a given 2-dimensional (irreducible) projective Galois representation over Q can be reduced to certain analogous local problems, and we solve those problems. By this, the problem of determining all irreducible representations of Gal(Q ÂQ) in GL 2 (C) with prescribed Artin conductor and determinant character is effectively reduced to a question in geometry of numbers.