## extending pp-adic character of the local intertia to the absolute Galois group

Suppose I have a number field F, and a finite place v of F. Let E be finite extension of Fv. I start with a continuous morphism χ:O×Fv→E×. where OFv is the ring of integers of the completion Fv of F at v. My question is if χ can be extended to a continuous morphism … Read more