adelic
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Adelic algebraic group — In mathematics, an adelic algebraic group is a topological group defined by an algebraic group G over a number field K , and the adele ring A = A ( K ) of K . It consists of the points of G having values in A ; the definition of the appropriate… … Wikipedia
-adelic — … Useful english dictionary
P-adic quantum mechanics — One may compute the energy levels for a potential well like this one.[note 1] P adic quantum mechanics is a relatively recent approach to understanding the nature of fundamental physics. It is the application of p adic analysis to quantum… … Wikipedia
Adele ring — In number theory, the adele ring is a topological ring which is built on the field of rational numbers (or, more generally, any algebraic number field). It involves all the completions of the field.The word adele is short for additive idele .… … Wikipedia
Approximation in algebraic groups — In mathematics, strong approximation in linear algebraic groups is an important arithmetic property of matrix groups. In rough terms, it explains to what extent there can be an extension of the Chinese remainder theorem to various kinds of… … Wikipedia
Robert Langlands — Robert Phelan Langlands (born October 6, 1936 in New Westminster, British Columbia, Canada) was one of the most influential mathematicians of the 20th century,and remains influential in the 21st.His work in automorphic forms and representation… … Wikipedia
Automorphic form — In mathematics, the general notion of automorphic form is the extension to analytic functions, perhaps of several complex variables, of the theory of modular forms. It is in terms of a Lie group G, to generalise the groups SL2(R) or PSL2 (R) of… … Wikipedia
Lattice (discrete subgroup) — In Lie theory and related areas of mathematics, a lattice in a locally compact topological group is a discrete subgroup with the property that the quotient space has finite invariant measure. In the special case of subgroups of R n , this amounts … Wikipedia
Anneau adélique — En mathématiques et dans la théorie des nombres, l anneau adélique (ou anneau des adèles) est un anneau topologique contenant le corps des nombres rationnels (ou, plus généralement, un corps de nombres algébriques), construit à l aide de toutes… … Wikipédia en Français
Théorie des corps de classes — En mathématiques, la théorie des corps de classes est une branche majeure de la théorie algébrique des nombres qui a pour objet la classification des extensions abéliennes, c est à dire galoisiennes et de groupe de Galois commutatif, d un corps… … Wikipédia en Français
