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Weil group

In mathematics, a Weil group, introduced by André Weil, is a modification of the absolute Galois group of a local or global field, used in class field theory. For such a field F {\displaystyle F} , its Weil group is generally denoted W F {\displaystyle W_{F}} . There also exists "finite level" modifications of the Galois groups: if E / F {\displaystyle…

Measurement, Class formation & Weil–Deligne group

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Overview

Class formation

Archimedean local field

Finite field

Local field

Weil–Deligne group

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Map overview Semantic statistics

Weil group

Nodes30
Edges29
Triples31
Avg. degree1.93
Density0.066667
Components1

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Weil group

Top relations

related to Class formation · 6
Weil group → E/F, Galois, If, Langlands, The Weil, Weil
related to Weil–Deligne group · 5
Weil group → Deligne, In, Pierre Deligne, The Weil, Weil
related to Finite field · 4
Weil group → Certain, For, Frobenius, Weil
related to Function field · 4
Weil group → For, Frobenius, Galois, Weil
related to Local field · 4
Weil group → For, Frobenius, Galois, Weil
related to Number field · 4
Weil group → For, Galois, The, Weil
related to Archimedean local field · 3
Weil group → For, Galois, Weil
is a · 1
Weil group → subgroup of the absolute Galois group of elements that act as a power of the Frobenius automorphism on the constant field

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Important terminology

weil group displaystyle field galois subgroup local extension deligne class finite fields frobenius absolute formation elements automorphism power used archimedean

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Weil groupis asubgroup of the absolute Galois group of elements that act as a power of the Frobenius automorphism on the constant field0.90text
Weil grouprelated to Archimedean local fieldFor0.60section
Weil grouprelated to Archimedean local fieldWeil0.60section
Weil grouprelated to Archimedean local fieldGalois0.60section
Weil grouprelated to Class formationThe Weil0.60section
Weil grouprelated to Class formationE/F0.60section
Weil grouprelated to Class formationGalois0.60section
Weil grouprelated to Class formationLanglands0.60section
Weil grouprelated to Class formationIf0.60section
Weil grouprelated to Class formationWeil0.60section
Weil grouprelated to Finite fieldFor0.60section
Weil grouprelated to Finite fieldWeil0.60section

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