Definition of Idele. Meaning of Idele. Synonyms of Idele

Here you will find one or more explanations in English for the word Idele. Also in the bottom left of the page several parts of wikipedia pages related to the word Idele and, of course, Idele synonyms and on the right images related to the word Idele.

Definition of Idele

No result for Idele. Showing similar results...

Guideless
Guideless Guide"less, a. Without a guide. --Dryden.
Prideless
Prideless Pride"less, a. Without pride. --Chaucer.
Tideless
Tideless Tide"less, a. Having no tide.

Meaning of Idele from wikipedia

- topological ring. An adele derives from a particular kind of idele. "Idele" derives from the French "idèle" and was coined by the French mathematician Claude Chevalley...
- 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...
- of a global field ****ociated with a ray class group of ideal classes or idele classes. Every finite abelian extension of a number field is contained in...
- character of the idele class group of a number field or global function field. It corresponds uniquely to a character of the idele group which is trivial...
- Totally real field Local field p-adic number p-adic analysis Adele ring Idele group Idele class group Adelic algebraic group Global field H****e principle H****e–Minkowski...
- Artin reciprocity law gives an answer by describing Gab in terms of the idele class group. Also notable is the Hilbert class field, the maximal abelian...
- called Artin reciprocity law; in the idelic language, writing CF for the idele class group of F, and taking L to be any finite abelian extension of F,...
- formulation, automorphic forms are certain finite invariants, mapping from the idele class group under the Artin reciprocity law. Herein, the analytical structure...
- The best known example of this construction is that of the adele ring and idele group of a global field. Direct sum Fröhlich, A.; C****els, J. W. (1967)...
- in turn equivalent to the deep theorem that the first cohomology of the idele class group vanishes. This is true for all finite Galois extensions of number...