Weil restriction information

In mathematics, restriction of scalars (also known as "Weil restriction") is a functor which, for any finite extension of fields L/k and any algebraic...

Restriction of scalars changes S-modules into R-modules. In algebraic geometry, the term "restriction of scalars" is often used as a synonym for Weil...

Group scheme Abelian variety Theta function Grassmannian Flag manifold Weil restriction Differential Galois theory Prime ideal Valuation (algebra) Krull dimension...

and restriction relating Hodge A-structures and B-structures for A a subring of B. It was noticed by Jean-Pierre Serre in the 1960s based on the Weil conjectures...

this morphism is along a finite extension of fields, it is known as Weil restriction. For any abelian group A, one can form the corresponding diagonalizable...

is a finite field extension of degree d {\displaystyle d} then the Weil restriction from E {\displaystyle E} to F {\displaystyle F} of the multiplicative...

family (when the objects that are being classified are families). Weil restriction Rational point descent along torsors. Shafarevich 1994, Ch. VI § 4...

These days these are associated to algebraic groups (respectively the Weil restriction from a totally real number field of GL(2), and the symplectic group)...

attaching Galois representations to them. Let S = ResC/R Gm be the Weil restriction of the multiplicative group from complex numbers to real numbers. It...

product of two projective lines, so by a descent argument X is the Weil restriction to k of the projective line over a quadratic étale algebra K. Since...

34 years on 1 November 2006. Weil held the office for 7 years, up to 2013 state election. Due to legal restrictions, Weil was automatically removed from...

symplectic group, first investigated by Irving Segal, David Shale, and André Weil. A natural extension of the representation leads to a semigroup of contraction...

In group theory, restriction forms a representation of a subgroup using a known representation of the whole group. Restriction is a fundamental construction...

or voting rights compared to Class B or Class C shares. There may be restrictions on any specific issue of class A shares in exchange for the benefits;...

of a left Haar measure was first proven in full generality by André Weil. Weil's proof used the axiom of choice and Henri Cartan furnished a proof that...

Ethiopian Jews, 2010, p. xxi Weil, Shalva (1997) "Collective Designations and Collective Identity of Ethiopian Jews", in Shalva Weil (ed.) Ethiopian Jews in...

functions. To "classify" addition theorems it is necessary to put some restriction on the type of function G admitted, such that F(x + y) = G(F(x), F(y))...

hdl:10072/340081. S2CID 152075981. Marcuello-Servós, Chaime; Corradi, Consuelo; Weil, Shalva; Boira, Santiago (8 July 2016). "Femicide: A social challenge". Current...

numbers of complex Grassmannians. This was one of the clues leading to the Weil conjectures. Note that in the limit q ↦ 1 the order of GL(n, q) goes to 0...