Galois characters arising from Drinfeld modules
- 주제(키워드) Drinfeld modules , Drinfeld representations , Galois representations
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Academic Press
- 발행년도 2013
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000094467
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.jnt.2012.09.002
초록/요약
Boston and Ose find a necessary condition for a Galois character ρ to be a Drinfeld character in the sense that it arises from the Galois action on the torsion points of a Drinfeld module over a finite field. We prove that this necessary condition is equivalent to the condition that the fixed field of the kernel of ρ can be identified with that of a Drinfeld character. This shows in particular that surjective characters are Drinfeld up to twist in many cases. © 2012 Elsevier Inc.
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