Definition of Ideles. Meaning of Ideles. Synonyms of Ideles

- The idele class group is not itself compact; the ideles must first be replaced by the ideles of norm 1, and then the image of those in the idele class...
- adele ring is called the idele group I K = A K × {\displaystyle I_{K}=\mathbf {A} _{K}^{\times }} . The quotient of the ideles by the subgroup K × ⊆ I...
- character mod m if χ (considered as a character on the idele group) is trivial on the group of finite ideles whose every v-adic component lies in 1 + mOv. A...
- , the adele ring is set up. A multiplicative variant is referred to as ideles. Algebraic function field Dirichlet's unit theorem, S-unit Kummer extension...
- Chevalley reformulated the definition of ray class groups in terms of ideles in 1933. If m is an ideal of the ring of integers of a number field K and...
- reciprocity. In the language of ideles, the Artin reciprocity law for a finite extension L/K states that the Artin map from the idele class group CK to the abelianization...
- Zakharchenko Ponomarenko Peikrishvili Bilyi Andreyko Liusin Hubenko Tretiak 6–7 Simonetto Camara Tavanti Damiano Fiogbe Steffanoni Arrigoni Gobbo Idele...
- used a translation invariant integration on the locally compact group of ideles to lift the zeta function twisted by a Hecke character, i.e. a Hecke L-function...
- adele ring in the late 1930s, following Claude Chevalley's lead with the ideles, and gave a proof of the Riemann–Roch theorem with them (a version appeared...
- result, the Artin reciprocity law. An important step was the introduction of ideles by Claude Chevalley in the 1930s to replace ideal classes, essentially clarifying...