adele
An infinite sequence consisting of a real number and a p-adic number for every prime number p, such that all but finitely many of them are p-adic integers. More generally, a member of a self-dual topological ring built on any algebraic number field, and involving in a symmetric way all the completions of the field.
Noun
- An infinite sequence consisting of a real number and a p-adic number for every prime number p, such that all but finitely many of them are p-adic integers. More generally, a member of a self-dual topological ring built on any algebraic number field, and involving in a symmetric way all the completions of the field.
Origin
Blend of additive + idele; coined by André Weil.