Explore: Weil Group

In mathematics, a Weil group, introduced by Weil (1951), is a modification of the absolute Galois group of a local or global field, used in class field

In arithmetic geometry, the Mordell–Weil group is an abelian group associated to any abelian variety A {\displaystyle A} defined over a number field K

mathematics, the Mordell–Weil theorem states that for an abelian variety A {\displaystyle A} over a number field K {\displaystyle K} , the group A ( K ) {\displaystyle

geometry, the Weil–Châtelet group or WC-group of an algebraic group such as an abelian variety A defined over a field K is the abelian group of principal

ramification group. If K is a local or global field, the theory of class formations attaches to K its Weil group WK, a continuous group homomorphism φ :

explanation needed] provides a basis (up to torsion) for the Mordell–Weil group of an elliptic surface E → S, where S is isomorphic to the projective

own works as well as through the Bourbaki group, of which he was one of the principal founders. André Weil was born in Paris to agnostic Alsatian Jewish

with homomorphisms of the Weil group to GL1(C). This gives the Langlands correspondence between homomorphisms of the Weil group to GL1(C) and irreducible

In mathematics, the Borel–Weil–Bott theorem is a basic result in the representation theory of Lie groups, showing how a family of representations can be

problem. This is not a Weyl group and has no connection with the Weil–Châtelet group or the Mordell–Weil group The Weil group of a class formation with